Answer:
f(x)=40(2.25)^x
Explanation:
You want the equation of the exponential function that goes through points (0, 40) and (1, 90).
Exponential function
The exponential function can be written ...
f(x) = a·b^x
Parameters
When x = 0, this is ...
f(0) = a·b^0 = a·1 = a
Using the given point, we have a = 40.
When x = 1, this is ...
f(1) = 40·b^1 = 40b
Using the given point, we have ...
90 = 40b
b = 90/40 = 2.25
The function equation is ...
f(x) = 40(2.25^x)
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