Question

kumiko rides home on her bike. her distance from home in miles, y, is a function of the time she rides her bike in hours, x. the graph of the function passes through the points (0,25) and (3,4). the initial value is 25. it represents the distance kumiko is from home when she starts biking. is the rate of change positive or negative? negative. find the rate of change of the function. the rate of change is

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

We have the points $(x_1,y_1)=(0,25)$ and $(x_2,y_2)=(3,4)$.

Step3: Substitute values into the formula

$m=\frac{4 - 25}{3-0}=\frac{- 21}{3}=-7$.

Answer:

$-7$