Question

2. The table below shows a linear relationship between x and y. x y5 36510 19015 15What is the rate of change for this relationship? A. 35 B. -35 C. 540 D. -540

Answer 1

The rate of change of a linear relationship is the same as the slope of the equation.

The slope (m) of a line given two points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing with (5, 365) and (10, 190), we get:

`m=(190-365)/(10-5)=-(175)/(5)=-35`