Question

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!!!!

Answer 1

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)

Explanation:

Answer 2

• This is an exponential function of the form
  `y=a(b^x)`
• 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

• 
  `b=1+r\\b=1+0.043\\b=1.043`
• With this info, let's substitute, and get the equation as the answer:
  `y=700(1.043^x)`
• Put that into desmos, (I attached a screenshot for you)