Answer:
The model that best describes the relationship between g and t is an exponential function
[tex]g(t)=5(0.97^t)[/tex]
Step-by-step explanation:
In this problem we have a exponential function of the form
[tex]g(t)=a(b^t)[/tex]
where
g(t) represent the gallons of water after evaporating
t is the number of hours
a is the initial value or y-intercept of the exponential function
b is the base
r is the rate
b=(1+r)
In this problem we have
[tex]a=5\ gal[/tex] ---> initial gallons of water into the bucket
[tex]r=-3\%=-3/100=-0.03[/tex] Â ---> is negative because is a decay rate
[tex]b=1-0.03=0.97[/tex]
substitute
[tex]g(t)=5(0.97^t)[/tex]
therefore
The model that best describes the relationship between g and t is an exponential function
