The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

This question is based on the concept of equation of line. Therefore, the y = -0.2 x + 3 is the rate of change of y with respect to x for this function.

We need to determined the the rate of change of y with respect to x for this function.

According to the question,

A linear relationship of line can be written as:

y = a x + b

Where, a is the slope ( rate of change of y with respect to x) and b is the y-axis intercept.

For a line that passes through the points and . Thus, the slope can be written as:

It is given that, the points are (-3, 3.6) and (5, 2) . Then the slope will be:

Then the rate of change is -0.2.

  Now, the equation of line become,

y = -0.2 x + b

Now, find the value of b, we can simply replace the values of one of the points in that equation, use the point (5, 2) .This means that we must replace x by 5, and y by 2.

2 = -0.2*5 + b

2 = -1 + b  

2 + 1 = b  

3 = b

Then the equation is:   y = -0.2 x + 3.

Therefore, the y = -0.2 x + 3 is the rate of change of y with respect to x for this function.

For more details, prefer this link:

link

A linear relationship can be written as:

y = a*x + b

where a is the slope (also called the rate of change of y with respect to x) and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, we have the points (-3, 3.6) and (5, 2)

Then the slope will be:

a = (2 - 3.6)/(5 - (-3)) = (-1.6/8) = -0.2

Then the rate of change is -0,2

We could complete the equation for the line.

At the moment we know that:

y = -0.2*x + b

To find the value of b, we can simply replace the values of one of the points in that equation, i will use the point (5, 2)

This means that we must replace x by 5, and y by 2

2 = -0.2*5 + b

2 = -1 + b

2 + 1 = b

3 = b

Then the equation is:

y = -0.2*x + 3.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

can you make your screen more see able?

then i might be able to .