Question

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. I need a step by step explanation and the answer!! PLEASE!!!!

Answer 1

`y = 700(1.043^x)`

See attachment for graph

Explanation:

Given

`a = 700` --- First Term

`r = 4.3\%` --- Rate

Required

Determine the equation that represents the scenario

The above scenario is an illustration of an exponential sequence and its nth term can be represented using:

`y = ab^x`

Where

`b = 1 + r`

Substitute 4.3% for r

`b = 1 + 4.3\%`

Convert % to decimals

`b = 1 + 0.043`

`b = 1.043`

Substitute values of a and b in
`y = ab^x`

`y = 700 * 1.043^x`

`y = 700(1.043^x)`

See attachment for graph