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1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box. Please help!!!!

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SageRage

Answer:

  • This is an exponential function of the form [tex]y=a(b^x)[/tex]
  • We will use the following
  • y for the number of bacteria at a given time
  • x for the time
  • a for the starting number of bacteria, which is 700
  • b for the base of the exponent
  • so lets find b, we need the following:
  • r, which will be our rate, which is 4.3% or 0.043, so
  • [tex]b=1+r\\b=1+0.043\\b=1.043[/tex]
  • With this info, let's substitute, and get the equation as the answer: [tex]y=700(1.043^x)[/tex]
  • Put that into desmos, (I attached a screenshot for you)

Ver imagen SageRage
sneakymiguel1

Answer:

This is an exponential function of the form  

We will use the following

y for the number of bacteria at a given time

x for the time

a for the starting number of bacteria, which is 700

b for the base of the exponent

so lets find b, we need the following:

r, which will be our rate, which is 4.3% or 0.043, so

With this info, let's substitute, and get the equation as the answer:  

Put that into decimals, (I attached a screenshot for you)

Step-by-step explanation:

Ver imagen sneakymiguel1

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