Question

The table shows a linear relationship between x and y.Xу- 6020- 24356.47.50What is the rate of change of y with respect to x?0

Answer 1

To calculate the rate of change between x and y, considering that this is a linear relationship, you have to calculate the slope of the linear relationship.

The slope of the line can be calculated using two values of the function and the following formula:

`m=(Y_1-Y_2)/(X_1-X_2)`

Using the values (-60, 20) and (35,-24), the slope is

`m=(35-20)/(-24-(-60))=(15)/(36)=(5)/(12)`

m=5/12 indicates that every time x varies in one unit, y will vary 5/12

The correct option is number 4