Meagan will be using a moving truck to move her belongings to another location. She is trying to decide from which company to rent the moving truck:

Question

Meagan will be using a moving truck to move her belongings to another location. She is trying to decide from which company to rent the moving truck:

• Option 1: Truck A offers a flat fee of $25 and $.50 per mile.
• Option 2: Truck B offers a flat fee of $30 and $.25 per mile.

Suppose Meagan would like to know when the costs are equal between the two companies.

Write an equation that shows the costs are equal.

Answer 1

Let's represent the total cost of renting Truck A as A and the total cost of renting Truck B as B.

For Truck A, the equation that represents the total cost can be written as:
A = $25 + $0.50(m)

For Truck B, the equation that represents the total cost can be written as:
B = $30 + $0.25(m)

To determine when the costs are equal between the two companies, we need to set A equal to B and solve for m.

So the equation that shows the costs are equal is:
$25 + $0.50(m) = $30 + $0.25(m)

Answer 2

To find the point at which the costs are equal between the two companies, we can set the total cost of Option 1 equal to the total cost of Option 2.

Let's denote the total cost of Option 1 as C1 and the total cost of Option 2 as C2.

For Option 1, the total cost consists of a flat fee of $25 plus $0.50 per mile. So, for M miles, the total cost can be represented as:
C1 = $25 + $0.50 * M

For Option 2, the total cost consists of a flat fee of $30 plus $0.25 per mile. So, for M miles, the total cost can be represented as:
C2 = $30 + $0.25 * M

To find when the costs are equal, we can set C1 equal to C2:
C1 = C2

$25 + $0.50 * M = $30 + $0.25 * M

Now, we can solve this equation to find the value of M where the costs are equal.

Answer 3

let number of miles be x

when is
.5x + 25 = .25x + 30
times 4
2x + 100 = x + 120
x = 20

equal at 20 miles

Answer 4

Meagan will be using a moving truck to move her belongings to another location. She is trying to decide whether to rent Truck A or Truck B:

Option 1: Truck A offers a flat fee of $35 and $0.45 per mil
Option 2: Truck B offers a flat fee of $40 and $0.25 per mil
Suppose Meagan needs to drive the truck 15 miles to her new home.

Question Answer
What is the cost of using Truck A? $
35.45
What is the cost of using Truck B? $
40.25
Which company offers the better deal at this mileage?