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.

given and, write the new function rule (equation) for function and describe (using words) the two transformations that occur between function and function.

i already got the equation for the first part: y=700(1.043^x) but i don’t understand the second part.

Answer 1

Answer:

See the screenshot! :)

Step-by-step explanation:

we have a exponential function of the form

y=a($b^x$)

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

a=700 bacteria

r=5%=5/100=0.05

so

b=1+0.05=1.05

substitute

y=700($1.05^x$)

For x=20 hours

substitute in the equation and solve for y

y=700(1.05)^20= 1,857 bacteria

Hope this helped! :)