Identify the initial amount a and the growth factor b in the exponential function.

y=5*0.5^x

a. a=5, b=x
b. a=0.5, b=5
c. a=5, b=0.5
d. a=0.5, b=x

The correct answer is C

To identify the initial amount (a) and the growth factor (b) in the exponential function y=5*0.5^x, we can analyze the given equation.

In this equation, the coefficient of 5 (the number multiplied by the exponential term) represents the initial amount. Therefore, in this case, the initial amount (a) is 5.

The exponential term is 0.5^x. The base of the exponential term, 0.5, represents the growth factor (b). Therefore, in this case, the growth factor (b) is 0.5.

So, the correct answer is:

c. a=5, b=0.5

The initial amount, a, in the exponential function y = 5 * 0.5^x is 5. The growth factor, b, is 0.5.

Therefore, the correct answer is:
c. a = 5, b = 0.5