Problem

Personal Finance—Oil Company Credit Cards: Many consumers use credit cards issued by gas s...

Personal Finance—Oil Company Credit Cards: Many consumers use credit cards issued by gas stations in association with oil companies. The number of oil company-issued credit cards in circulation annually in the United States can be modeled by

f(x) = 0.67x2 + 8.33x + 98 0 ≤ x ≤ 10

where x represents the number of years since 2000 and f(x) represents the number of oil company–issued credit cards in circulation annually, measured in millions. (Source: The Nilson Report.)

(a) Evaluate dy for x = 9 and Δx = dx = 1 and interpret.


(b) Write the equation of the tangent line of f at x = 10 and evaluate the equation for the year 2016. Interpret this result.

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