The table shows the amount of money Tyler earns for mowing lawns. Is the
relationship a proportional relationship? Complete the explanation.

The Table Shows The Amount Of Money Tyler Earns For Mowing Lawns. Is Therelationship A Proportional Relationship?

Answers

Answer 1

Answer:

The constant of variation 'k' is NOT constant.

Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.

Step-by-step explanation:

Given the table

Number of Lawns         1           2            3              4

Amount Earned ($)      16         32          54            72

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the 'Amount earned ($) ' is represented by 'y', and the 'Number of Lawns' is represented by 'x'.

Let us check the constant of proportionality using the equation

k = y/x

k = 16/1 = 16

k = 32/2 = 16

k = 54/3 = 18

k = 72/4 = 18

It is clear that that the constant of variation 'k' is NOT constant.

Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.


Related Questions

Figure this out for brainlest thanked daily and 5 stars
Good luck :))

Answers

Answer:70 minutes

Step-by-step explanation:this is because since 1 min =6 cartons .And u are figuring out for 420 cartons ,you think what is 420 divide 6 which is 70 .So it means 70.

1 min = 6 cartons

x min = 420 cartons

do 420 times 1 it gives u 420 then divide by 6.

please help. Will give brainliest!!

Answers

Answer:

A.

Step-by-step explanation:

For starters, we can combine like terms. we can combine -3 with -2 to get -5, and [tex]\frac{3}{5} x[/tex] with [tex]\frac{-1}{5} x[/tex] to get [tex]\frac{2}{5} x[/tex]. Now, we have [tex]\frac{2}{5} x-5[/tex] as our final answer, or answer A. Also, brainliest is not necessary. Hope this helps!

round 5,816 to the nearest hundred

Answers

Answer:

5800

Step-by-step explanation:

that is to the nearest hundred

Answer:

5,800

Step-by-step explanation:

In 5,816. the number in the hundred place is the 8. The rule in rounding is 5 and above goes up, under 5 stay the same. The number after the 8 is the 1 and 1 is less than 5, so stays the same. So the 5,816 rounded to the hundred place is 5,800.

I am a number between 17 and 25

I am a multiple of 3

6 is not a factor of mine

Answers

Answer: 21

Step-by-step explanation:

Possible outcomes: 18,19,20,21,22,23,24

18, 21, and 24 are multiples of 3.

18 and 24 are multiples of 6

21 is the answer

Help me please this is due tonight! ​

Answers

Answer:

1 and 2/3 yards of material

Step-by-step explanation:

5 times 2/6 = 10/6 = 5/3 = 1 2/3

Hope this helps!! :D

Answer 10/6


Explanation= 5 (2/6) = 10/6

label each graph with the correct expression , im extremely stuck

Answers

Answer:

look on the other math website rather than here its not too active here today

Step-by-step explanation:

What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63

Answers

Answer:

x = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

3x - y = 18

y = 27

Step 2: Solve for x

Substitute in y:                     3x - 27 = 18Isolate x term:                      3x = 45Isolate x:                               x = 15

Answer:

15

Step-by-step explanation:

3x - y = 18

Insert the value of y in the equation.

3x - 27 = 18

Shift -27 to the other side of the equation.

3x = 18 + 27

3x = 45

x = 45 ÷ 3

x = 15

So please check if your options and the equation are correct.

plz help with this question

Answers

Answer:

q⁸/16p¹²

Step-by-step explanation:

Use of formulas:

(a/b)⁻ⁿ = (b/a)ⁿ(aᵇ)ⁿ = aᵇⁿ

Simplifying

(2p³/q²)⁻⁴ =(q²/2p³)⁴ =(q²)⁴/(2p³)⁴ =q⁸/2⁴p¹² =q⁸/16p¹²

Answer:

[tex] { (\frac{2 {p}^{3} }{ {q}^{2} }) }^{( - 4)} = \frac{{2}^{(-4)} {p}^{(3 \times ( - 4))} }{ {q}^{(2 \times ( - 4))} } = \frac{ {p}^{ (- 12)} }{16 {q}^{( - 8)} }=\boxed{\frac{ {q}^{8} }{ 16{p}^{12} }} \\ [/tex]

q⁸/16p¹² is the right answer.

Expand and simplify
2(x + 7) + 3 (x + 1)

Answers

Answer:

Step-by-step explanation:

2x + 14 + 3x + 3

Solving like terms

5x + 17

Need help ASAP!!! I'll give brainliest to the correct answer!!

A.) 24 cm
B.) 48 cm
C.) 72 cm
D.) 36 cm

Answers

Answer: BE = 48 cm

Step-by-step explanation:

BE is twice as long as AB so to find BE just multiply 2 by 24.

2 × 24 = 48

mother i need of the assistance i have fallen of my scooter

Answers

Answer:

ok....

Step-by-step explanation:

Umm I don't think this is a question but....

Oh my lord how did you fall off!!

I am going to call 911

They will be here in 5 minutes!!

Can you also explain it? Use the distributive property to simplify the expression.
4 (1a + b – 6)

Answers

Answer:

4a + 4b - 24

Step-by-step explanation:

You first start off by giving (multiplying) 4 to everything that's in the parenthesis.

Second you multiply:

4 x 1a = 4a

4 x b = 4b (also remember that a variable by its self is just 1)

4 x -6 = -24

Lastly you put it together:

4a + 4b - 24

For the -24 you can either do it the way I did or this way -> (-24) but teachers will look mostly for -24 way. But use whichever one is easier for you :)

Hope this helps!

(10, 7); 5х - бу = 18

Answers

Answer: See explanation

Step-by-step explanation:

x = 10

y = 7

5x - 6y = 18

5 (10) - 6 (7) = 18

50 - 42 = 18

8 ≠ 18

The coordinates can't be (10, 7)

I barely understood the question but I hope I helped!

Which equation represents a direct linear variation?
A) 7=x+2
B) y=1/2x
C) y=1/x
D) 7=x^2

Answers

Answer:

B

Step-by-step explanation:

The equation representing direct linear variation is

y = kx ← k is the constant of variation

The only equation in this form is

y = [tex]\frac{1}{2}[/tex] x ( with k = [tex]\frac{1}{2}[/tex] )

The sum of 3 consecutive even
numbers is 78.
Write the variable representation for each of
the three numbers in this sequence.

Answers

Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest

Answers

Answer:

Step-by-step explanation:

1.0.39

2.0.33

3.Loose

4.0.14

I did the first four... hope that helps

If i roll 2 dice what is the probability that neither of them are prime nor even?

Answers

Answer:

There are 3 prime numbers shown on the die: 2, 3 and 5. The probability of showing a prime number on a single die is 1/2, hence the probability of not showing a prime number is also 1/2. Total possible outcomes when two dice are rolled = 6*6 = 36. Total possible outcomes when two dice are rolled = 6*6 = 36.

Mrs Marcias told john that the grade for his math assignment was in the form of the expression. What is johns grade?

Answers

Answer:

Where's the expression?

Step-by-step explanation:

Answer:

The Answer is 89

Step-by-step explanation:

for the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help

Answers

Answer:

The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

Step-by-step explanation:

Given the expression

[tex]2(4x+10)=8x+k[/tex]

solving

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

We know that the equations with infinitely many solutions have the same expressions on both sides

It means the value of k can be determined by further simplifying such as

[tex]8x+20 = 8x+k[/tex]

8x+20-8x = k

20 = k

Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

VERIFICATION:

Given

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

Put k = 20 in the equation

[tex]8x+20 = 8x+20[/tex]

[tex]8x+20 - 8x+20 = 0[/tex]

[tex]0 = 0[/tex]

equations with infinitely many solutions have the same expressions on both sides.

This means the statement is always true.

PLZZZ HELP DUE IN HR

Answers

Step-by-step explanation:

the prime numbers are

A. 23 , C. 7

23 and 7 are prime numbers.

pls help asap write the perimeter of the figure

Answers

Answer:

Awnser C      9x + 7x

Step-by-step explanation:

the perimiter of that triangle is 16x   9x + 7x = 16x

I only need help with 19-21. Any help is appreciated

Answers

The slope is 2 for number 20

Drac
write vowels along
the horizontal line and
number
of
times a vowel scoundring
along
the vertical axit​

Answers

i o u a e
...................
...............
............
........
......
...
..
.

Answer:

I o u a e

Step-by-step explanation:

these are the vowels

write the tangent ratios for angle p and angle q, reduce if needed

Answers

Answer:

tanP = [tex]\frac{20}{21}[/tex] , tanQ = [tex]\frac{21}{20}[/tex]

Step-by-step explanation:

tanP = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{20}{21}[/tex]

tanQ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{21}{20}[/tex]

I need help or me mommy will get mad

Answers

Answer:

2 inches

Step-by-step explanation:

[tex]\frac{.25}{4} =\frac{x}{32} \\[/tex]

(0.25*32)/4=2

Answer:

2 inches

Step-by-step explanation:

please mark this answer as brainliest

PLS HELP ME IT IS SO HARD

Answers

Answer:

180-28.4 DIVIDED BY TWO SHOULD BE THE ANSWER SO C


Divide x3 + x2 - X+ 2 by r+ 4 using long division.

Answers

Answer:

6-x+2bry

Step-by-step explanation:

Answer:

Here are the steps required for Dividing by a Polynomial Containing More Than One Term (Long Division):

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term (this will help with the spacing).

Step 2: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol.

Step 3: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol.

Step 4: Subtract and bring down the next term.

Step 5: Repeat Steps 2, 3, and 4 until there are no more terms to bring down.

Step 6: Write the final answer. The term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

Example 1 – Divide: Example 1

trayvon bought 2 gallons of milk at the supermarket how many quarts of milk did he buy

Answers

Answer: He bought 8 quarts

Step-by-step explanation:

There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,

Answer:

8 quarts

Step-by-step explanation:

1 gallon is equal to 4 quarts, so from there you just multiply 2 times 4 and you get 8 !

What is the answer to 5 divided by 2/7

Answers

Answer:

17 1/2

Step-by-step explanation:

To divide a whole number and a fraction, write the whole number as a fraction (in this case, 5 becomes 5/1). Then, change the division symbol to a multiplication symbol. After that, you flip the second number and multiply. As you can see, you get 35/2 as the answer. To simplify that, divide 35 by 2. The answer becomes the whole number, the divisor becomes the denominator, and the remainder becomes the numerator. That means our simplified answer is 17 1/2.

A submarine changed its depth by -24 feet each minute for six minutes.



What was the total change in depth at the end of the 6 minutes?

Answers

Answer:-144

Step-by-step explanation:

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