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

Answer:

$y = 700(1.043^x)$

See attachment for graph

Step-by-step 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