The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10), where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction f(t) = 0.2 + 0.04t of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2002 to the start of 2010. HINT [Rate of consumption = s(t)f(t).] _____gal
The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10), where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction f(t) = 0.2 + 0.04t of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2002 to the start of 2010. HINT [Rate of consumption = s(t)f(t).] _____gal
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by
s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10),
where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction
f(t) =
| 0.2 + 0.04t |
of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2002 to the start of 2010. HINT
[Rate of consumption = s(t)f(t).]
_____gal
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