Question

Need help with the last part I know I need to do 55x+60 = ? But I don’t know what ? Is

Answer 1

- Discount car rentals charges less daily

- After 3 days

Explanation:

Required

Which charges less per day

When is the total cost the same

First, calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

From the table, we have:

`(x_1,y_1) = (2,185)`

`(x_2,y_2) = (6,345)`

So, we have:

`m = (345 - 185)/(6 - 2)`

`m = (160)/(4)`

`m = 40`

The equation is then calculated as:

`y = m(x - x_1) + y_1`

`y = 40(x - 2) + 185`

`y = 40x - 80 + 185`

`y = 40x + 105`

So, the equation of the table (i.e. Discount Car rental) is:
`y = 40x + 105`

While the equation of Pay Less is:
`y = 55x + 60`

The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)

For the total cost to be the same, we simply equate both expressions:

i.e.

`y = y`

`55x + 60 = 40x + 105`

`55x - 40x = - 60 + 105`

`15x =45`

`x = 3`