Answer:
The truck was driven 92 miles
Step-by-step explanation:
Equations
The total cost for The Laskowski's truck renting can be modeled as a linear function.
The fixed costs are the initial fees of $49.95 plus the gasoline cost of $18.32. Fixed costs=$49.95 + $18.32 = $68.27
The variable cost is the charge per mile= $0.30.
Let's call x=number of miles the truck was driven.
The total cost is the sum of the fixed and the variable costs:
C(x)=0.30x+68.27
We need to find the number of miles driven if the total cost was $95.87. The equation to solve is:
0.30x+68.27=95.87
Subtracting 68.27:
0.30x = 95.87 - 68.27
0.30x = 27.6
Dividing by 0.30
x = 27.6 / 0.30 = 92
x = 92 miles
The truck was driven 92 miles
