Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Main title on the graph is Sweater Sale. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answers
Solution:
The description about the graph is:
Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.
If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.
Equation of line passing through two points,[tex](x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })[/tex]
Equation of line passing through (12.5,6) and (15,4) is given by
[tex]\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}[/tex]
[tex]2x-25=-2.5+15[/tex]
[tex]2x+2.5y=40[/tex]
[tex]20x+25y= 400[/tex]
[tex]4x+5y=80[/tex]
Part B: Description of line of best fit
A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.
(C) 4 x + 5 y=80
5 y= - 4 x +80
[tex]y=\frac{-4x}{5}+16[/tex]
Slope [tex]= \frac{-4}{5}[/tex], Y- intercept = 16
Related Questions
Expand and simplify these 12 questions
Answers
Answer:
1. 3x+15
2. 4x+36
3. 4x+36
4. 6x-2
5. 5x-10
6. 4x-24
7. 2x+1
8. 6x+21
9. 4x+16
10. 4x+10
11. x+4
12. 5x-10
To expand an equation, you can apply the distributive property
==> The distributive property, sometimes known as the distributive property of multiplication, tells us how to solve certain algebraic expressions that include both multiplication and addition.
CREDIT: prepscholar.com ^ for the definition of the distributive property
HELPPPPPPPPPPPPPPPPPPPP!!!!!!!!
Answers
Answer:
y+1 = -1/3(x+3)
Step-by-step explanation:
we can use this formula to answer this question
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the point and m indicates the slope
y-(-1) = -1/3(x-(-3)
y+1 = -1/3x-1
y = -1/3x -2
Explanation:
Brainliest included to the right answer
Answers
Function
Not a function
Not a function
Function
Explanation:
In order to determine if the relation is a function, you have to check to see if each x value in the relation has only one y value. If there are multiple y values for a singe x value, then the relation is not a function.
solve for x: cx - d = 4
Answers
x=4/c + d/c
Mr. Peralta had $300 in his savings account in March. He continued to add money to his savings account and by August, the value of the savings account had increased by 20%. How much money is in Mr. Peralta’s account in August?
Identify and label the point on the double number line that represents the original amount of money in Mr. Peralta's savings account.
Answers
Answer:
ima say $360.correct me if im wrong-^-
Step-by-step explanation:
The total amount of money in Mr. Peralta's savings account is $360.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Mr. Peralta had $300 in his savings account in March.
By August, the value of the savings account had increased by 20%.
Let, 'x' be the total amount after an increase of 20%.
So, 120% of $300 is 'x'.
Therefore,
(120/100)×300 = x.
300×1.2 = x.
x = 360.
So, By august total money in his account is $360.
learn more about percentages here :
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CAN SOMEOEN HELP M E PLEASE STOP SEDING ME LINKS YOUR NOT HELPFUL AT ALL AD YOUR JUST STEALING POINTS FOR WHAT I NEED HELPL.
Answers
Answer:
ok im not 100% sure but i think it can hold only 2 animals soo
Step-by-step explanation:
first you send across two lions, then two wildabeasts then one lion and one wildabeast
PLEASE HELP I DONT HAVE MUCH TIME
Answers
Answer:
10%
Step-by-step explanation:
Hope the helps!!!
Answer:
A) 25%
B) 6.5%
Step-by-step explanation:
A) 10/39.99≈0.2501
25%
B) 1.95/29.99≈0.0650
6.5%
Can someone please help me out with this. Please don't just answer for points.
Answers
Answer:
m - n - 4
Step-by-step explanation:
9m + 4n - 1 - 6m - (n + 3) - (2m + 4n)
= m - n - 4
Find the value of x, Problem is below. Solve correctly for brainiest and 5 stars!
Answers
3x = 159
x = 53°
5. Here is a shape with some measurements in cm.
Answers
Answer:
Just saying that there are links people post that scam you and this is requird by Brainly
Step-by-step explanation:
The table is completed below.
We can say that the relationship between the scale factor and the area of scaled copies is proportional.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Using the formula for the area of a triangle:
Area = 1/2 x base x height
With a base of 3cm and height of 2cm, the area of the original triangle is:
Area = 1/2 x 3cm x 2cm = 3cm²
To find the area of the scaled triangles, we can use the scale factor to determine the corresponding dimensions, and then calculate the area using the same formula.
Scale factor Corresponding dimensions Area
1 3cm x 2cm 3cm²
2 6cm x 4cm 12cm²
5 15cm x 10cm 75cm²
s 3s cm x 2s cm 3s² cm²
Now,
To see if the relationship between the scale factor and the area of scaled copies is proportional, we can calculate the ratio of the area to the scale factor for each row of the table:
Scale factor Corresponding dimensions Area Ratio of area to scale factor
1 3cm x 2cm 3cm² 3/1 = 3
2 6cm x 4cm 12cm² 12/2 = 6
5 15cm x 10cm 75cm² 75/5 = 15
s 3s cm x 2s cm 3s² cm² (3s²)/s = 3s
In each case, the ratio of the area to the scale factor is constant, which means that the relationship between the scale factor and the area of scaled copies is indeed proportional.
Therefore,
We can say that the relationship between the scale factor and the area of scaled copies is proportional.
Learn more about triangles here:
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1.Suppose a car is traveling east on 4th Street and turns left onto King Avenue heading northeast What is the measure of the angle created by the car's turning?
2.Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street What is the measure of the angle created by the car's turning?
3.Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning?
Answers
Answer:
4th street
Step-by-step explanation:
Sorry but I only have an anwser for the first one
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°
Here is Laila’s graph from the previous screen.
Write your own equation in the form y=mx+b that could represent Laila’s graph.
Answers
Answer:
y=-1/3x+8
Step-by-step explanation:
There is no need for any specific answers, but here is one that could logically work out. Since the graph is going left/down, it has a negative slope, so -1/3 would be reasonable. The graph doesn't cross the origin and crosses above it, so this equation must have a positive 'b' value. In this case, I chose 8. y=-1/3+8 could represent Laila's graph.
ill get beaten just help me finish this thank you!
Answers
Answer:
C THE ANSWER IS C
Step-by-step explanation:
someone help me with my math...no bias answers, please
Answers
Answer:
61.8m^2are
Step-by-step explanation:
3 times 9 = 27
you multiply that two more times because there are 3 of them. So now we have 54 m.
Now we find the area of the triangles
area = 1/2 base times height
1/2(2.6) * 3
1 * 2.6 * 3/2
2.6 * 3/2
7.8/2
3.9
3.9 times 2 because there two triangles
7.8 + 54 = 61.8 m^2
Show the work please
Answers
whats M+R-A=? i need big help
Answers
Answer:
Hello Corey. Those are just variables, there is really no answer.
pls answer im not smart when it comes to this
Answers
Don’t forget to add your units some teachers mark it wrong if you don’t :)
Answer:
203
Step-by-step explanation:
....
substitute the variable and solve the problem
d=6 and k=2
(d+k) x 2
answer:
expression or equation:
Answers
Answer:
16
Step-by-step explanation:
d =6
k =2
( 6 + 2) × 2
8 × 2 = 16
Will Mark Brainliest! Please help!
An expression is shown below:
2x3 + 10x2 − 4x2y − 20xy
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
I DONT KNOW THE ANSWER, I accidentally clicked, ill give brianliest!
Answers
Answer:it’s b
Step-by-step explanation:
Answer:
C) 13 inches
Step-by-step explanation:
The radius is half the diameter. Since the diameter is 26, evident from the circumference being 26pi, half of 26 is 13.
The table shows the number of bottles of different kinds of juice sold at a cafeteria on Monday.
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table?
Pls answer ASAP
Answers
First you need to add up everything to find out the amount of costumers more Monday. You will get 40. Then you would have to multiply 40 by 2 to get 80 which is the total amount of costumers for Tuesday. This means that you have to double the amount of everything on the table to find out how much of each item was sold. The questions says which is NOT supported by the table. When you do the math you see that everything is accurate except C because the number of apple juice sold on Tuesday is 22 and the number of cranberry juice sold on Tuesday is 14. 22 is not 6 times more than 14 which makes C the correct answer.
I need someone to help me today in math(I'm working on functions)
Ill be giving away points and brainliest all day
Here is the first one
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points)
Answers
9514 1404 393
Answer:
A. (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)
B. is a function
C. is a function
Step-by-step explanation:
Both relations are functions.
A relation is NOT a function if the same input value maps to two different output values. Virtually any relation involving time as an input will be single-valued: a measure can only have one value at any given time (ignoring quantum physics).
__
A: If height decreases 1/2 inch per hour, then some ordered pairs could be ...
(hours, inches) = (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)
For each additional hour, 0.5 inches was subtracted from height.
__
B: There is only one output for each input, so the relation is a function.
__
C: Yes, the relation is still a function. There is still only one output value for each input value.
each bag of cereal should contain 350 grams. a box was selected at random and weighed 342 grams. what is the percent error?
Answers
Answer:
the percentage error is 0.02286 x 100% = 2.286%.
Step-by-step explanation:
Select the three numbers that show 225% as an equivalent fraction, decimal, or percent. (Hint- There are three correct answers: you must choose three answers.)
A 225/50 B 225/100 C 9/4 D 0.225 E 2.25
Answers
Answer:
The answers are B, C and E
Step-by-step explanation:
B: You put it over 100
C: same fraction but mixed number and in simplest form
E: just divide by 100
Answer:
The correct answers are 2.25, 9/4, and 225%
Step-by-step explanation:
How many cups do 5 quarts of milk contain?
Answers
Answer:
20
Step-by-step explanation:
Answer:20 cups
Step-by-step explanation:5 quart = 20 cup
joey made an deposit into an account that earns 6% simple interest. after 3 years joey had earned 400$. how much was joey's initial deposit ?
Answers
I=$400 (0.06) (3)
I= 72
The 6% was changed into a decimal (0.06)
So I multiplied 400 x 0.06 x 3
The 400 would be the principal amount the 6% would be the rate and the 3 would be the time
Help me on this question pls!!!!!
Answers
Answer:
i cant see the picture
Step-by-step explanation:
In which set do all of the values make the inequality 2x-1<10 true?
A. {10,15,20}
B. { 5,7,9}
C. {4,6,8}
D.{2,3,4}
struggling :(
Answers
Answer:
d
Step-by-step explanation:
10+1 > 2x
11 > 2x
11÷2 > x
5.5>x
in answer a we have 10>5.5
in b 5
in c 6
Pleaseeeeee helppppp
Answers
Jejsjsiskskskjsjsjbsbsbsbsbsjsjjsjs
PLZZZ help with this its pretty simple!
Answers
Answer:
Ok so first you want to distribute the -1 in front of the 3x^2-7x+1
Which turns the problem into
X^2+5x-6 -3x^2+7x-1
Then just combine like terms
-2x^2+12x-7
Also ^ followed by the number is the exponent