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.

Respuesta :

56y=7x might be the equation

Answer:

[tex]y=8x[/tex]

Step-by-step explanation:

we know that

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

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

[tex]y=kx[/tex]

we know that

It costs [tex]\$56[/tex] to rent a tent for [tex]7[/tex] days

Find the value of k

[tex]56=7k\\ \\k=56/7\\ \\k=8\frac{\$}{day}[/tex]

substitute

The linear equation is equal to

[tex]y=8x[/tex]