Question

17)

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?
A -9/2
B 2/9
C -2/9
D 9/2

Explain in complete sentences why you chose this answer, make sure
to support your answer with the data above.

Answer 1

A

Explanation:

Slope is defined by
`(y_2-y_1)/(x_2-x_1) or (rise)/(run)`. Take 2 points from this table and plug into the formula to find the slope.

`(96-60)/(-20--12) = (36)/(-8) = -9/2`

From a logical standpoint, since when x increases and y decreases, the slope must be negative, eliminating answering B and D. Because the y value changed more than the x value, the slope must be more than 1, eliminating option C and leaving you with option A.