Answer:
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
Step-by-step explanation:
✔️Function A rate of change can be calculated using two points, (1.5, 5) and (2.5, 0)
[tex] rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{2.5 - 1.5} = \frac{-5}{1} = -5 [/tex]
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.
