4. calculate habibs average rate of change from 4 to 9 minutes. explain what your answer means in this…

Explanation:

Step1: Identify the formula for average rate of change

The formula for the average rate of change of a function $y = f(x)$ over the interval $[x_1,x_2]$ is $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$. Here, $x$ is time (in minutes) and $y$ is distance (in km). $x_1 = 4$, $x_2=9$. From the graph, when $x = 4$, $y=f(4)=5$ and when $x = 9$, $y = f(9)=10$.

Step2: Calculate the average rate of change

Substitute the values into the formula: $\frac{f(9)-f(4)}{9 - 4}=\frac{10 - 5}{9 - 4}=\frac{5}{5}=1$.

Step3: Interpret the result

The average rate of change of 1 km/min means that, on - average, Habib's distance from Donna's Pizza increases by 1 kilometer per minute over the time interval from 4 to 9 minutes.

Answer:

The average rate of change is 1 km/min. This means that, on average, Habib's distance from Donna's Pizza increases by 1 kilometer per minute from 4 to 9 minutes.