The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]p = 300 * 3^w[/tex]
From the graph, we have the following ordered pairs
(1,900) and (3,8100)
An exponential function is represented as:
[tex]p = ab^w[/tex]
At the point (1,900), we have:
ab = 900
At the point (3,8100), we have:
ab^3 = 8100
Divide both equations
[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]
Evaluate the quotients
[tex]b^2 = 9[/tex]
Take the square roots of both sides
b = 3
Recall that:
ab = 900
So, we have:
3a = 900
Solve for a
a= 300
Hence, the equation is:
[tex]p = 300 * 3^w[/tex]
Read more about exponential equations at:
https://brainly.com/question/11464095
