Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2​

Two Linear Functions Are Shown Below. Which Function Has The Greater Rate Of Change? Function A: 4 8

Answers

Answer 1

Answer:

Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

Answer 2

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

The ordered pairs for the first function are

[tex](0,1),(4,2),(8,3),(12,4)[/tex]

Slope

[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

[tex]y=mx+c[/tex]

where

m = Slope or rate of change

c = y intercept

Here, the equation is

[tex]y=0.75x-2[/tex]

The slope is 0.75.

Function B has a greater rate of change.

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Related Questions

Evaluate the expression below if x = -2, y=3, and z= -4
8xy

Answers

Answer:64

Step-by-step explanation:8(-2)(-4)

64

Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answers

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

[tex]\Rightarrow y=x-2 \cdots(i)[/tex]

Cost of x bananas [tex]=\$ 0.60 \times x[/tex]

Cost of y mangos [tex]=\$ 1.50 \times y[/tex]

Total cost = 0.6x+1.5y

[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

Which is the correct decimal representation of 13/40

Answers

Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

write an equation for the line above

Answers

Answer:

y= -3x/5

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept

m= rise/run = -3/5 (go from one point to the other on the graph)

y-intercept is (0,0)

Marching Bands: In how many ways can four marching bands and three floats line up for a paradeif two bands cannot march next to one another?

Answers

Answer:

There's 6 ways the boats can line up for the parade.

Step-by-step explanation:

Feel free to give brainliest.

Have an outstanding day!

can someone help me with these questions I want to make sure I got them right ​

Answers

9514 1404 393

Answer:

14/9-3.65/411/2, 7/8, 5/18

Step-by-step explanation:

1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9

__

2. x = (9.82 -28.18)/5.1 = -3.6

__

3. y = 3/2 -1/4 = 5/4

__

4a. t = 2(3 -1/4) = 11/2

4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8

4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18

when a number i added to its square , the result is 6 what is the number

Answers

Answer:

2

Step-by-step explanation:

2 ² is 4. If you add 2 to 4, you get 6. Therefore, the answer is 2.

Solving using factorization method, the unknown number is either -3 or 2.

What is a square of a number?

The square of a number is the product win a number is multiplied by itself.

Let the unknown number be a.

Square of a = a × a

The number is added to its square:

[tex]a + a^{2}= 6[/tex]

[tex]a^{2} \: + a - 6 = 0[/tex]

solving by factorization:

a = -3 or 2

Therefore, the unknown number is either -3 or 2.

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The radius of a circle is 8 in. Find its area in terms of \piπ.

Answers

Answer:

201.06 in

Step-by-step explanation:

I'm guessing you meant πr² because that's what you use to find the area of a circle.

Anyways, we know what the radius is, it's 8, so now we just need to plug it in.

π8² = 201.06

or you can do

3.14(8²) = 200.96

Using π just makes it more exact.

Answer:

201.1 in (approx.)

Explanation:

ok x so first I will multiply 8^2 by pi, that gives me an infinite decimal.. but after rounding it up to 1d.p, we get 201.1 inches which is your answer

In a survey of 1,500 people who owned a certain type of​ car, 300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

20%

Step-by-step explanation:

Step one:

total number of people surveyed= 1500

we are told that 300 people would buy that car again,

this implies that they like the car and are satisfied with it

Step two:

the percent of people satisfied can be computed as

=300/1500*100

=3/15*100

=1/5*100

=0.2*100

=20%

The people surveyed were satisfied with the​ car are 20%

In the equation y = 2π^x, 2 is the ______ and π is the ______.

Answers

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

A grocery store clerk can scan 1 product every
1/2
of a second. At what rate can she scan products?

Answers

She can scan 2 products per second

Determine and state an equation of the line perpendicular to the line 4x – 5y = 10 and passing through the point (-4, -2).

Answers

fortnite stroyline haja
Answer is 5x+4y+27=0

Help!!!
Find the total cost to the nearest cent. $18 breakfast; 7% tax

Answers

Answer:

19.26

Step-by-step explanation:

Joseph deposits $950 every month into an account earning a monthly interest rate of 0.5%. How much would he have in the account after 19 months, to the nearest dollar?

Answers

Answer:

I think, 18,058 dollars.

Step-by-step explanation:

Jeremy find the cost by adding the percents. 25% off of $60 is equal to 15% off of $60, then subtracting 10% from that cost is equal to . The two total costs are

Answers

Answer:

a. 25% off of $60 is equal to $45.

b. 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

Step-by-step explanation:

These can be determined as follows:

a. Calculation of the first total cost, i.e. 25% off of $60

25% of 60 = 25% * $60 = 15

First total cost = 25% off of $60 = $60 - (25% of $60) = $60 - $15 = $45

Therefore, 25% off of $60 is equal to $45.

b. Calculation of the second total cost, i.e. 15% off of $60, then subtracting 10% from that cost

15% of $60 = $9

10% of $60 = $6

Cost = 15% off of $60 = $60 - (15% of $60) = $60 - $9 = $51

Second total cost = Cost - (10% of $60) = $51 - $6 = $45

Therefore, 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs

The two total costs are 25% off of $60 which is equal to $45 and 15% off of $60, then subtracting 10% from that cost which is also equal to $45. The addition of the two costs is $90 (i.e. $45 + $45 = $90).

Therefore, the two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

Help me solve this problem please

Answers

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

HELP ME OUT IM DUMB

Answers

Answer:

around 15.3

Step-by-step explanation:

3^2 + 15^2=c^2

Answer:

Step-by-step explanation:

Formula:

a^2 + b^2 + c^2

3^2 + 15^2 + c^2 = To find hypotenuse

3 • 3 + 15 • 15 = -c^2

9 + 225 = -c^2

234 = c^2

square root of 234 = 15.2970585408

c = 15.2970585408

The roof is 15.2970585408

Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.

Answers

Answer:

First divide 180 by 45, 180/45=4. So 25% of his pencils are blue, which means 75% of his pencils are red.

The percentage of red pencils Mike had is 75%.

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, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

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HELP!!BRAINLIEST AND 10 POINTS !! <3 ALSO THIS SAYS -X SO PLEASE HELP WITH THAT !! THANK YOU

Answers

I think it’s -3,1 I’m not sure though!

A box contains 300 raffle tickets. Only 15 tickets are winning tickets. What is the
probability the first ticket drawn at random from the box is a winning ticket?

Answers

Answer:

5%

Step-by-step explanation:

15/300 = 0.05

5%

A scale for a scale drawing is 17 cm:1 mm. Which is larger, the actual object or the scale drawing?

Answers

9514 1404 393

Answer:

  the scale drawing is larger

Step-by-step explanation:

The scale tells you that ...

  17 cm on the scale drawing represent 1 mm on the actual object.

17 cm is larger than 1 mm, so the scale drawing is larger.

Slope intercept form
WILL MARK BRAINLIST

Answers

answer : y= -10/1 x - 30

The height reached by a model rocket can be calculated using the equation h= -16t2 + vt +
where t is the time the rocket is in flight, vis the rocket's velocity, and n is the rocket's beginning
height.
Calculate the height, h at 3 seconds given that the rocket travels 85 feet per second and starts on a
launch pad 15 feet off the ground.
Knowns:
t = 3 seconds
v = 85 feet per second
n = 15 feet
If we plug all those values in, our Formula becomes h= (–16.32) + (85.3) + (15).
Solve for h

Answers

Answer:

Step-by-step explanation:

9.0

The height (h) reached by model rocket will be equal to 126 ft.

It is given that the height reached by a model rocket can be calculated using the equation h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n

We have to calculate the height (h) at 3 seconds.

What is algebra ?

Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n   ---------- Equation 1

t = time rocket is in flight = 3 seconds

  v = velocity at which rocket travels = 85 ft. per second

  n = height of rocket at beginning = 15 ft

Putting these values in equation 1 , we get.

h = - 16 × ( 3² ) + (85) × (3) + 15

h = - 16 × 9 + 255 + 15

h = -144 + 270

h = 126 ft.

Thus , the height (h) reached by model rocket will be equal to 126 ft.

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Can someone pretty please help me and answer these questions??!?!!!?

Answers

Answer:

Step-by-step explanation:

you seee i would nut I need points right now I'm sorry

NEED HELP ASAP. WILL GIVE BRAINLIEST

Which statement describes the equivalent vectors?

The magnitudes are 10, and the direction angles are about 18º

The magnitudes are 10, and the direction angles are about 162°

The magnitudes are 100, and the direction angles are about 18°

The magnitudes are 100, and the direction angles are about 162º.​

Answers

Answer:

A) The magnitudes are 10, and the direction angles are about 18º

Step-by-step explanation:

got it right on edge :)

The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.

How to find the cross product of two vectors?

Suppose that two vectors in consideration are u and v, then their cross product is evaluated as:

[tex]u \times v = |u|.|v|.sin(\theta)\hat{n}[/tex]

where

the normal unit vector whose direction is decided by right hand thumb rule, and theta is the angle between u and v vector.

The two bars around a vector represents the magnitude of that vector.

Cross product returns the result as a vector itself.

From the given graph we can conclude that the magnitudes are 10, and the direction angles are about 18º.

The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.

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please help me asap​

Answers

Answer:

1\2.

Step-by-step explanation:

change in y over change in x. so 13 - 11 over 6 - 2. 2/4 --.> 1\2.

Solve the formula for the specified variable.

f=m+n+p/2
pls hurry I need help
ill give brainliest

Answers

Answer:Given equation as

x-2/2=m+n

1) x=2(m+n)+2

2)h=2A/b

3) 23

4)-81

5) 17/7

6) 8

7) 4 hours

8) width is 4.5 length is 7.5

9)  got wrong didn't answer

10)  got wrong picked never true

11) two points I only got 1 I picked you overdrew on the account by 36.00 so I guess the other is the acount has a balance less than

Step-by-step explanation:

In this we have to isolate x. So for this firstly we will multiply both side of equation by 2.

Now we can add 2 in both side

what number should be added to both sides of the equation to complete the square?

Answers

-4 is what you put on both sides Bc it’s half of b

What are some reasons to live I could use them right now

Answers

Answer:

mom will be sad

Step-by-step explanation:

YOU ARE A BEATIFUL AND AMAZING PERSON DONT DIE ON ME LIKE THIS

Solve for x: x+ 1/6 = 5/12

Answers

Answer:

x=3/12 or 1/4

Step-by-step explanation:

x + 1/6 = 5/12

x + 2/12 = 5/12

x = 3/12

converts to 1/4

Answer:

x= 1/4

Step-by-step explanation:

5/12- 1/6 = 1/4

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