Question

If f is an exponential function of the form f(x)=C times a^x with growth factor 5 and f(5)=14. What is f(6)?

I know f(6) is 70 but how do you set up the equation to get 70?

Answer 1

f(x) grows by 5 when x grows by 1

f(5 = 14
5 * 14 = 70 = f(6)

f(x) = c 5^x
f(5) = 14 = c 5^5 = 3125 c

c = 14/3125

f(x) = (14/3125) 5^x
if x = 6
f(6) = (14/3125)5^6
= (14 /3125) 15625
= 70

Answer 2

Thanks

Answer 3

You are welcome.