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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.

Respuesta :

calculista

Answer:

The graph in the attached figure

Step-by-step explanation:

we have a exponential function of the form

[tex]y=a(b^x)[/tex]

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

[tex]a=700\ bacteria[/tex]

[tex]r=5\%=5/100=0.05[/tex]

so

[tex]b=1+0.05=1.05[/tex]

substitute

[tex]y=700(1.05^x)[/tex]

For x=20 hours

substitute in the equation and solve for y

[tex]y=700(1.05)^{20} =1,857\ bacteria[/tex]

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She started out with a = 700 bacteria cells.

And She found that the growth rate of the bacteria cells was r =5% = 0.05

The projected bacteria population x = 20 hours from the time.

According to the question,

The Exponential function is in the form of ,

[tex]y = a (b^{x} )[/tex]

Where a = 700bacteria,  r =5% = 0.05,

y  is the population of bacteria  and 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

b = 1 + 0.05

b = 1.05

Put the value of a = 700bacteria, x =20 and b = 1.05 in the equation 1

[tex]y = 700( 1.054)^{20} \\\\y = 1857[/tex]

For more information about Exponential Function click the link given below.https://brainly.com/question/11487261

Ver imagen psm22415