Question

The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours

Answer 1

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

`y\propto x`

`y=kx`

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

`27=k(5)`

Divide both sides by 5.

`(27)/(5)=k`

Therefore, the constant of proportionality is
`(27)/(5)`.