Question

What is the rate of change of the function?

Answer 1

`m =(5)/(4)`

Explanation:

The rate of change of a line (linear function) is its slope.

To find the slope (m) of a line, use the formula:

`m = (\Delta y)/(\Delta x) = (y_2 - y_1)/(x_2 - x_1)`

where
`(x_1, y_1)` and
`(x_2, y_2)` are two given points on the line.

So, the slope, or rate of change, for this function is:

`m = (10 - 5)/(4 - 0)`

using the points (0, 5) and (4, 10).

Finally, simplify the constructed equation.

`m = (10 - 5)/(4 - 0) = (5)/(4)`

So, the slope, or rate of change, of this function is 5/4.