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Cell Phone Ad Spending A certain industry's ad spending between $2005 (t = 1)$ and $2011 (t = 7)$ is projected to be
$S (t) = 0.89 t^{0.97} (1 \leq t \leq 7)$
where $S (t)$ is measured in billions of dollars and $t$ is measured in years. What is the projected average spending per year on these ads between 2005 and 2011 ? (Round your answer to two decimal places.)
$$$
billion/yr
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$2.92$ billion dollars per year is the final answer.

Steps

Step 1 ：Define the function $S (t) = 0.89 \cdot t^{0.97}$ where $S (t)$ is measured in billions of dollars and $t$ is measured in years.

Step 2 ：Calculate the total spending from 2005 to 2011 by integrating the function $S (t)$ from $t = 1$ to $t = 7$ .

Step 3 ：Calculate the average spending per year by dividing the total spending by the number of years, which is 7.

Step 4 ：The projected average spending per year on these ads between 2005 and 2011 is approximately $2.92 billion per year.

Step 5 ： $2.92$ billion dollars per year is the final answer.