Question

Fara wants to rent a tent for an outdoor

celebration. The cost of the tent is $500 per
hour, plus an additional $100 set-up fee.
a. Draw a line to show the relationship between
the number of hours the tent is rented, x, and
the total cost of the tent, y

Answer 1

The graph in the attached figure

Explanation:

Let

x -----> the number of hours

y -----> the total cost of the tent in dollars

we know that

The total cost of the tent is equal to multiply the rate of $500 per hour by the number of hours plus an additional $100 set-up fee

so

The linear equation in slope intercept form is equal to

`y=500x+100`

where

the slope is
`m=500\ (\$)/(hour)`

`b=\$100` -----> the y-intercept is the point (0,100) (Value of y when the value of x is equal to zero)

using a graphing tool

The graph in the attached figure

Remember that the number of hours and the total cost cannot be a negative numbers