Question

8.

Identify the initial amount a and the growth factor b in the exponential function.
f(x) = 620 ∙ 7.8x

620, 7.8

620, 7.8x

7.8, 620

7.8x, 620

Answer 1

[AI-generated answer — Bot GPT-4o]

In the exponential function \( f(x) = 620 \cdot 7.8^x \), the general form of an exponential function is \( f(x) = a \cdot b^x \), where \( a \) is the initial amount (or initial value) and \( b \) is the growth factor.

Comparing the given function with the general form, we can identify:

- The initial amount \( a \) is the coefficient in front of the exponent, which is \( 620 \).
- The growth factor \( b \) is the base of the exponent, which is \( 7.8 \).

So, the initial amount \( a \) is \( 620 \) and the growth factor \( b \) is \( 7.8 \).

The correct pair is:

620, 7.8