Question

Henrietta did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 20 hours from the time Henrietta started the experiment. Label your x and y axes. Show all work.

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^x)$

where

y ---> is the population of bacteria

x ---> the number of hours

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate of change

b=(1+r)

we have

$a=700\ bacteria$

$r=5\%=5/100=0.05$

so

$b=1+0.05=1.05$

substitute

$y=700(1.05^x)$

For x=20 hours

substitute in the equation and solve for y

$y=700(1.05)^{20} =1,857\ bacteria$