Question

80 POINTS Write your graph on a piece of paper take a picture and submitt

1. Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment.

Answer 1

the two points are (0,800) and (35,2409)

Explanation:

the 800 point is already given to you in the question. to find the next one you do y=800(1.032)^35.

Answer 2

The graph in the attached figure

see the explanation

Explanation:

we know that

In this problem we have a exponential function of the form

`y=a(b^x)`

where

a is the y-intercept or initial value

b is the growth factor

r is the growth rate of change

b=(1+r)

In this problem

we have

y----> bacteria population

x ----> the time in hours

`a=800\ bacteria`

`r=3.2\%=3.2/100=0.032`

`b=1+0.032=1.032`

substitute

`y=800(1.032^x)`

For
`x=35\ h`

substitute the value of x in the exponential equation and solve for y

`y=800(1.032^(35))=2,409\ bacteria`

The graph in the attached figure