Question

The rate of a country's per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.29t2 − t + 25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n = 5 to estimate the total country's per capita sales of bottled water from the start of 2008 to the start of 2012. (Use a left Riemann sum to find your answer. Round your answer to the nearest gallon.) HINT [See Example 2.]

Answer 1

`A = 126.66\,(sales)/(person)`

Explanation:

Then, Riemann sum with n = 5 for the function described in the statement is:

`A = \Delta t \cdot [f(1) + f(2)+f(3)+f(4)+f(5)]`

`A = 1\cdot (25 + 24.16+24.61+25.64+27.25)`

`A = 126.66\,(sales)/(person)`