Question

a.Manuel works in a lab. The number of bacteria overtime in a petri dish he is studying is shown in the table.BacteriaTime (Hours)0123Number of Bacteria6052420968038,720Constant ratio: 4y-intercept:Exponential function: y =

Answer 1

In this problem, we have an exponential growth function of the form

$\begin{gathered} y=a(b)^x \\ b>1 \end{gathered}$

where

a=605 (initial value)

b=4 ---> given

so

$y=605(4)^x$

The y-intercept is the initial value (605 bacteria)