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

A.

`y=200(1.18)^(x)`

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