Suppose the rate of oil imports to the United States from a certain country can be approximated by r(t) = −5t2 + 40t + 900 million barrels per year    (0 ≤ t ≤ 8), where t is time in years since the start of 2000. During that time, the price of oil was approximately† p(t) = 25e0.1t dollars per barrel. Obtain an expression for the total oil revenue  R(x)  the country earned from the United States since the start of 2000 to the start of year x as a function of x

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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Suppose the rate of oil imports to the United States from a certain country can be approximated by

r(t) = −5t2 + 40t + 900 million barrels per year    (0 ≤ t ≤ 8),

where t is time in years since the start of 2000. During that time, the price of oil was approximately†

p(t) = 25e0.1t dollars per barrel.

Obtain an expression for the total oil revenue 

R(x)

 the country earned from the United States since the start of 2000 to the start of year x as a function of x. (Do not simplify the answer.) HINT 

[Rate of revenue = p(t)r(t).]
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