Which of the following show an initial amount greater than 10?

a. f(x) = 72(0.8)^6
b. f(x) = 2(13)^5
c. f(x) = 8(1.9)^22
d. f(x) = 7(300)^4

1 answer

To determine which of the given options have an initial amount greater than 10, we need to evaluate the function at x = 0 and check if the result is greater than 10.

a. f(0) = 72(0.8)^6 ≈ 20.112

b. f(0) = 2(13)^5 ≈ 40,082

c. f(0) = 8(1.9)^22 ≈ 804.051

d. f(0) = 7(300)^4 = 63 million

Therefore, the only option that shows an initial amount greater than 10 is option b. f(x) = 2(13)^5.
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