Question

Which function has a greater rate of change?

Answer 1

A. Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function A has a greater rate of change

Explanation:

✔️Function A rate of change can be calculated using two points, (1.5, 5) and (2.5, 0)

`rate of change = (y_2 - y_1)/(x_2 - x_1) = (0 - 5)/(2.5 - 1.5) = (-5)/(1) = -5`

Rate of change of function A = -5

✔️Rate of change of Function B, y = -4.5x + 15:

The equation for function B is given in the slope-intercept form, y = mx + b. Here, m represents the rate of change.

Therefore, the rate of change of the equation, y = -4.5x + 15, is -4.5.

✔️Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function A has a greater rate of change. This is because the larger the value, regardless of the sign, the steeper the slope.