Solution:
It is given that , number of members f(x) in Joe's health club increased by 25% every year over a period of x years.
The relationship between f(x) and x is given as:
[tex]f(x) = 15(1.25)^x[/tex]
Replacing f(x) by y, in the above equation
y= [tex]15(1.25)^x[/tex]
To draw the graph without the help of Desmos, find diifferent value of y, for different values of x, For example , for x=1
We get , y= [tex]15(1.25)^1[/tex]= 18.75
For, x=2
y= [tex]15(1.25)^2[/tex]=15 × 1.5625=23.4375
For, x=3
y= [tex]15(1.25)^3[/tex]= 29.296875
So, for different values of x, we get different values of y. Mark these points in the coordinate plane, and join them . You will get the graph of the above function :⇒ f(x)= [tex]15(1.25)^x[/tex]
Graph is depicted below.
