Question

Can someone help me with this math homework please!

Answer 1

Part A)

50

Part B)

1

Part C)

50 feet per second.

Explanation:

First, note that Point A is at (3, 150) and that Point B is at (4, 200).

Part A)

The y-values of Point A and Point B are 150 and 200, respectively.

Therefore, the change in y-value from A to B is:

`\Delta y = (200)- (150) = 50`

(Note, the triangle symbol or Greek letter Delta is used to denote "change" or "difference.")

Part B)

The x-values of Point A and Point B are 3 and 4, respectively.

Therefore, the change in x-value from A to B is:

`\Delta x = (4)-(3)=1`

Part C)

Recall that the rate of change of a linear function is given by the change of y over the change of x. In other words:

`\displaystyle \text{Rate of Change} = (\Delta y)/(\Delta x)`

Substitute and evaluate:

`\displaystyle \text{Rate of Change} = ((50))/((1))=50`

Since the y-values are in feet and the x-values are in seconds, the rate of change of the linear function is 50 feet per second.