The exponential function is written as f(x) = 40 (1.5)ˣ
Number of visitors after five months is 304 (to the nearest person)
How to write the exponential function
An exponential function is a mathematical function of the form
f(x) = a(b)ˣ
The parameters are defined as follows
the starting = a
the base = b
the exponents = x
Analyzing the graph, (0, 40)
f(x) = a(b)ˣ
40 = a * 1 (b exponent 0 is 1)
a = 40
Using point (1, 60)
f(x) = a(b)ˣ
60) = 40(b)
b = 60/40
b = 1.5
Hence the equation is written as
f(x) = 40 (1.5)ˣ
For x = 5
f(x) = 40 (1.5)ˣ
f(x) = 303.75
f(x) = 304 to the nearest person