Question

Johnny is moving and is trying to figure out what moving company to use. We-Haul charges $58 to rent the truck and $4 per mile.E-Z-move charges $100 to rent the truck and $1 per mile. Use any method to solve a system of equations for this situation.

Answer 1

To solve this problem, we can create a system of equations to represent the total cost for each moving company. By setting the two equations equal to each other, we find that Johnny needs to move 14 miles for the costs to be equal. When Johnny moves 14 miles, both companies will charge him $114.

Step-by-step explanation:

To solve this problem, we can create a system of equations to represent the total cost for each moving company. Let x represent the number of miles Johnny will be moving.

The total cost for We-Haul is given by: Cw = 58 + 4x

The total cost for E-Z-Move is given by: Ce = 100 + x

To find out when the costs are equal, we can set the two equations equal to each other: 58 + 4x = 100 + x

Now, we can solve for x:

3x = 42

x = 14

So Johnny needs to move 14 miles for the costs to be equal.

Let's calculate the cost:

For We-Haul: Cw = 58 + 4(14) = 58 + 56 = 114

For E-Z-Move: Ce = 100 + 14 = 114

Therefore, when Johnny moves 14 miles, both companies will charge him $114.