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Question
determine the constant of proportionality (p). enter an equation in the form of ( b = pn ) that shows the proportional relationship between the number of cell phones (n) and the monthly bill (b) amount, in dollars.
Step1: Find the constant of proportionality
The formula for the constant of proportionality \(p\) in a proportional relationship \(b = pn\) is \(p=\frac{b}{n}\).
Let's take a point from the graph. For example, when \(n = 4\), \(b = 160\). Then \(p=\frac{160}{4}\).
Step2: Calculate the value of \(p\)
\(p=\frac{160}{4}=40\)
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The equation is \(b = 40n\)