Answer:
Please check the explanation.
Step-by-step explanation:
Given the function representing the number of customers on day x
f(x) = 3ˣ
Part A)
We need to determine the day when there are 243 customers.
so substitute f(x) = 243 in the function
[tex]f\left(x\right)\:=\:3^x[/tex]
Part B)
Solving the equation
[tex]f\left(x\right)\:=\:3^x[/tex]
[tex]243\:=\:3^x[/tex]
as 2⁵ = 243, so
[tex]\:2^5=3^x\:[/tex]
x = 5
The value of x = 5
Part C)
As the value of x = 5
Therefore, on the 5th day, there would be 243 customers.
