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 would like to know when the costs are equal between the two trucks.
costA = 35 + .45x, where x is the number of miles
costB = 40 + .25x
35 + .45x = 40 + .25x
solve for x
To find out when the costs are equal between the two trucks, we can set up an equation and solve for the distance, "miles," at which the costs for both trucks are the same.
Let's assume the distance in miles is represented by "m."
For Truck A, the total cost would be the sum of the flat fee and the cost per mile, which can be expressed as:
Cost_A = $35 + $0.45m
For Truck B, the total cost would also be the sum of the flat fee and the cost per mile, given by:
Cost_B = $40 + $0.25m
Now, to find when the costs are equal, we can set up the equation:
$35 + $0.45m = $40 + $0.25m
We can simplify this equation by moving terms around:
$0.45m - $0.25m = $40 - $35
Combining like terms, we get:
$0.20m = $5
To solve for m, we need to isolate the variable, so we divide both sides of the equation by $0.20:
m = $5 รท $0.20
Calculating the result, we find:
m = 25
Therefore, the costs for Truck A and Truck B will be equal when the distance traveled is 25 miles.