A colony of bacteria is increasing at the rate of 15% each hour. There are 3,500 bacteria in the colony at the time observations begin. Find an exponential growth model for A, the number of bacteria t hrs after the first observation.

Step-by-step explanation:

An exponential function for the colony of bacteria has the following format:

In which A(t) is the population after t hours, A(0) is the initial population and r is the growth rate.

There are 3,500 bacteria in the colony at the time observations begin.

This means that A(0) = 3500.

A colony of bacteria is increasing at the rate of 15% each hour.

This means that

Find an exponential growth model for A, the number of bacteria t hrs after the first observation.

x = 12

y = 15

step-by-step explanation: