Question

The number of bacteria in a petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the petri dish, which function can be used to determine the number of bacteria in the petri dish in exactly x hours?A: y=200(1.18)^xB: y=200(1.82)^xC: y=200(0.82)^xD: y=200(0.18)^x

Answer 1

ANSWER:

A.

$y=200(1.18)^{x}$

STEP-BY-STEP EXPLANATION:

An exponential function is the following:

$y=A\cdot(1+r)^x$

According to the statement:

A = 200

r = 18% = 0.18

Therefore:

$\begin{gathered} y=200\cdot(1+0.18)^x \\ \\ y=200(1.18)^x \end{gathered}$

Therefore, the correct option is function A. y=200(1.18)^x