Question

no late credit
grade: 67%
complete: 97%
question
a new budgeting app was launched three years ago. in the apps 10th quarter, sales stood at 266.63 thousand dollars, while in the 12th quarter, sales stood at 400.36 thousand dollars. find the average rate of change from t = 10 to t = 12 quarters, rounding your answer to three decimal places, with appropriate units. then fill in the guided sentence below to interpret the meaning of your answer in context.
answer
the average rate of change is
it represents that the
is
at a rate of
over that time interval.

Explanation:

Step1: Recall average rate - of - change formula

The formula for the average rate of change of a function $y = f(t)$ from $t = a$ to $t = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 10$, $b = 12$, $f(10)=266.63$ and $f(12)=400.36$.

Step2: Substitute values into the formula

$\frac{f(12)-f(10)}{12 - 10}=\frac{400.36 - 266.63}{2}$.

Step3: Calculate the result

$\frac{400.36 - 266.63}{2}=\frac{133.73}{2}=66.865$.

Answer:

The average rate of change is $66.865$ thousand dollars per quarter. It represents that the sales is increasing at a rate of $66.865$ thousand dollars per quarter over that time interval.