Question

A population starts at 500 and doubles every year. What is the exponential function that models this growth? (1 point)
Responses

f(x)=500(2)^x

f of x is equal to 500 times 2 to the x th power

f(x)=500(3)^x

f of x is equal to 500 times 3 to the x th power

f(x)=500(0.5)^x

f of x is equal to 500 times 0 point 5 to the x th power

f(x)=500(1.5)^x

f of x is equal to 500 times 1 point 5 to the x th power

Answer 1

Correct answer: f(x) = 500(2)^x.

Explanation: initial population 500 (when x = 0) and doubles each year, so the multiplier per year is 2, giving f(x) = 500·2^x.