77393
AssignmentMultiple Choice

Exponential Growth Functions

Question 77393 • High School Math 2 A

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?f(x) = 1500(1.15)x f(x) = 1500(115)xf(x) = 1500(2.15)xf(x) = 1500(215)x

Answer
A
f(x) = 1500(1.15)x
B
f(x) = 1500(115)x
C
f(x) = 1500(2.15)x
D
f(x) = 1500(215)x

Explanation

An increase of 115% means the population grows by its original amount plus 115% of that amount each hour, so the hourly growth factor is 1 + 1.15 = 2.15. Starting with 1500 bacteria, the function is f(x) = 1500(2.15)^x. Therefore, the correct choice is C, f(x) = 1500(2.15)^x.

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