Question

A function grows exponentially at a rate of 10%. If the value at x = 2 is 908.56, what is the value of a in the formula f(x)=a*b^x? A. about 750.88 B. about 911.62 C. about 1,004.69 D. about 1,005.33

Answer 1

a = about 750.88 ⇒ answer (A)

Explanation:

∵ f(x) = a(b)^x

∵ The rat is 10%

∴ b = (1 + 10/100) = 1.1

∵ f(x) = 908.56 at x = 2

∴ 908.56 = a(1.1)²

∴ a = 908.56/1.1² = 750.876 ≅ 750.88

∴ The answer is (A)