Question

The cost y (in dollars) to rent a camping tent is proportional to the number x of days that the tent is rented. It costs $56 to rent a tent for 7 days. Write an equation that represents the cost to rent a camping tent for x days.

Answer 1

56y=7x might be the equation

Answer 2

`y=8x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem the linear equation represent a proportional variation

Let

x------> the number of days

y-----> the cost to rent a camping tent

The linear equation is equal to

`y=kx`

we know that

It costs
`\$56` to rent a tent for
`7` days

Find the value of k

`56=7k\\ \\k=56/7\\ \\k=8(\$)/(day)`

substitute

The linear equation is equal to

`y=8x`