Question

each year, the campers at janices summer camp try to set that summers record for finishing the obstacle course as quickly as possible.
record obstacle course completion times

according to the table, what was the rate of change between 2015 and 2017?
minutes per year

Explanation:

Step1: Identify the formula for rate of change

The formula for rate of change is $\frac{\text{Change in record time}}{\text{Change in year}}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Assign values from the table

For 2015 ($x_1 = 2015$, $y_1=25$) and 2017 ($x_2 = 2017$, $y_2 = 29$).

Step3: Calculate the change in record time and change in year

Change in record time: $y_2 - y_1=29 - 25 = 4$.
Change in year: $x_2 - x_1=2017 - 2015=2$.

Step4: Compute the rate of change

Rate of change $=\frac{4}{2}=2$.

Answer:

$2$