A truck can be rented from Basic Rental for $45.00 a day plus $0.25 per mile. Continental charges $25.50 per day plus $0.40 per mile to rent the same truck.
a) Write an expression to calculate the cost of renting and driving a truck from Basic Rental. Let x be the number of miles driven.
Cost =
b) Write an expression to calculate the cost of renting and driving a truck from Continental. Let x be the number of miles driven.
Cost =
c) How many miles must be driven in a day to make the rental cost for Basic Rental a better deal than Continental's?
Answer:
a) Basic = 45 + .25x
b) Continental = ?
c) 45 + .25x < Continental
Solve for x.
a) Cost = 45.00 + 0.25x
b) Cost = 25.50 + 0.40x
c) To make the rental cost for Basic Rental a better deal than Continental's, the cost of renting and driving a truck from Basic Rental must be lower than the cost of renting and driving a truck from Continental. Therefore, we set the two expressions equal to each other and solve for x:
45.00 + 0.25x = 25.50 + 0.40x
19.50 = 0.15x
x = 130
So, 130 miles must be driven in a day to make the rental cost for Basic Rental a better deal than Continental's.
a) The cost of renting and driving a truck from Basic Rental can be calculated using the expression: Cost = $45.00 + ($0.25 * x), where x is the number of miles driven.
b) The cost of renting and driving a truck from Continental can be calculated using the expression: Cost = $25.50 + ($0.40 * x), where x is the number of miles driven.
c) To determine the number of miles that must be driven in a day to make the rental cost for Basic Rental a better deal than Continental's, we need to find the point where the cost of renting and driving from Basic Rental is less than the cost from Continental.
To solve this, we set the two expressions equal to each other and solve for x:
$45.00 + ($0.25 * x) = $25.50 + ($0.40 * x)
Simplifying the equation, we have:
$19.50 = ($0.40 * x) - ($0.25 * x)
$19.50 = $0.15 * x
Dividing both sides by $0.15, we get:
x = $19.50 / $0.15
x ≈ 130
Therefore, to make the rental cost for Basic Rental a better deal than Continental's, you must drive approximately 130 miles in a day.