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.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

b. is true. hope this . happy