Question

The McGee family is looking to rent a large truck for their upcoming move. With Luther's Moving, they would pay $38 for the first day plus $7 per additional day. With Springdale Rent-a-Truck, in comparison, the family would pay $44 for the first day plus $4 per additional day. Before deciding on which company to use, Mrs. McGee wants to find out what number of additional days would make the two choices equivalent with regards to cost. What would the total cost be? How many additional days would that be?

The McGee family would pay _______$ either way if they rented the truck for ____ additional days.


HELPPPP

Answer 1

Answer: The McGee family would pay $52 either way if they rented the truck for 2 additional days.

Explanation:

Luther's Moving Company:

38 is how much they'll pay on the first day plus 7 per every additional day

This is represented by 7x+38

Springdale Rent-a-Truck

44 is how much they'll pay on the first day plus 4 per every additional day

This is represented by 4x+44

Set the equations equal to each other

7x+38=4x+44

Move the 38 to the other side by subtracting

7x=4x+44-38

7x=4x+6

Move 4x to the other side by subtracting

7x-4x=6

3x=6

Divide 3 to get x alone

3x/3=6/3

x=2

They'll be equal after 2 additional days

Plug in 2 to each equation

Luther: 7(2)+38

14+38=52

Springdale: 44+4(2)

44+8=52