Question

A buisness in the florida keys offers key west jet ski tours for the following rates:Time (in hours) Price (in dollars)3/4 hour $90.001 1/2 hours $130.002 hours $180.00Are the two quantities, time and price, proportionally related? Explain.

Answer 1

Two quantities are proportionally related if the ratio between them is constant

`\begin{gathered} (price)/(time)=(90)/((3)/(4))=90\cdot(4)/(3)=120 \\ (price)/(time)=(130)/((3)/(2))=130\cdot(2)/(3)=(260)/(3)=86(2)/(3) \\ (price)/(time)=(180)/(2)=90 \end{gathered}`

Given that the results are different between them, then the two quantities are not proportionally related