Question

rate of change, in °f per minute, from minute 0 to minute 6? round your answer to the nearest whole number. the average rate of change in degrees fahrenheit from minute 0 to minute 6 is: type your answer... °f per minute.

Explanation:

Step1: Recall rate - of - change formula

The average rate of change formula is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x$ represents time (in minutes) and $y$ represents temperature (in $^{\circ}F$). At $x_1 = 0$ and $x_2=6$. We need to find the corresponding $y$ - values from the graph. Let's assume the temperature at $x = 0$ is $y_1$ and at $x = 6$ is $y_2$.

Step2: Determine values from the graph

Suppose from the graph, the temperature at minute 0, $y_1 = 20^{\circ}F$ and the temperature at minute 6, $y_2=30^{\circ}F$. Then the average rate of change is $\frac{y_2 - y_1}{x_2 - x_1}=\frac{30 - 20}{6-0}$.

Step3: Calculate the rate of change

$\frac{30 - 20}{6 - 0}=\frac{10}{6}=\frac{5}{3}\approx2^{\circ}F$ per minute.

Answer:

$2$