Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
[tex]y=a(b^x)[/tex]
where
a is the y-intercept or initial value
b is the growth factor
r is the growth rate of change
b=(1+r)
In this problem
we have
y----> bacteria population
x ----> the time in hours
[tex]a=800\ bacteria[/tex]
[tex]r=3.2\%=3.2/100=0.032[/tex]
[tex]b=1+0.032=1.032[/tex]
substitute
[tex]y=800(1.032^x)[/tex]
For [tex]x=35\ h[/tex]
substitute the value of x in the exponential equation and solve for y
[tex]y=800(1.032^{35})=2,409\ bacteria[/tex]
The graph in the attached figure
