Question

The vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you can rent the boat proportional to the coast? why or why not?

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Answer 1

Not proportional.

Explanation:

Let x represent number of hours and y represent total cost.

We have been given that the vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel.

The cost of rental for x hours would be
`25x`.

The total cost of rental for x hours and fuel would be
`25x+12`.

The equation
`y=25x+12` total cost of x hours.

We know that two proportional quantities are in form
`y=kx`, where k is constant of proportionality.

We can see that our equation is in form
`y=kx+c` as it includes a constant 12.

Therefore, the number of hours for renting a boat is not proportional to the cost.