Question

Which equation represents exponential growth? (1 point) Responses f(x)=4(0.07)x f x = 4 0 . 07 x f(x)=2(0.44)x f x = 2 0 . 44 x f(x)=12(6)x f x = 1 2 6 x f(x)=7(12)x

Answer 1

An equation represents exponential growth if the base of the exponent is greater than 1.

Let's analyze the given options:

1. \( f(x) = 4(0.07)^x \) - (0.07 is less than 1, represents exponential decay)
2. \( f(x) = 2(0.44)^x \) - (0.44 is less than 1, represents exponential decay)
3. \( f(x) = 12(6)^x \) - (6 is greater than 1, represents exponential growth)
4. \( f(x) = 7(12)^x \) - (12 is greater than 1, represents exponential growth)

The equations that represent exponential growth are:
- \( f(x) = 12(6)^x \)
- \( f(x) = 7(12)^x \)

So, any of these two equations does represent exponential growth. If you need only one response, you can choose \( f(x) = 12(6)^x \) as it is listed first.