Jessie needs to rent a truck for two days to move her belongings to college. She can rent a U-
Haul for $35 a day plus 25 cents per mile or she can rent a Budget Rental Truck for $25 per day
plus 32 cents per mile. Write an equation and solve to find out how many miles she would need
to drive in order for the U-Haul rental will to be a better deal than the Budget rental.
2*35 + .25 m = 2*25 + .32 m
To find out how many miles Jessie would need to drive in order for the U-Haul rental to be a better deal than the Budget rental, we need to set up an equation and solve it.
Let's first set up the equation:
Cost of U-Haul rental = Cost of Budget rental
The cost of U-Haul rental is $35 per day plus 25 cents per mile.
So the cost of renting a U-Haul for two days would be:
Cost of U-Haul rental = (2 x $35) + (0.25 x miles)
The cost of Budget rental is $25 per day plus 32 cents per mile.
So the cost of renting a Budget truck for two days would be:
Cost of Budget rental = (2 x $25) + (0.32 x miles)
Now we can set up our equation:
(2 x $35) + (0.25 x miles) = (2 x $25) + (0.32 x miles)
Let's solve this equation to find the number of miles at which the U-Haul rental becomes a better deal than the Budget rental.
First, simplify the equation:
$70 + 0.25 x miles = $50 + 0.32 x miles
Next, isolate the variable by moving all the terms involving miles to one side:
0.25 x miles - 0.32 x miles = $50 - $70
-0.07 x miles = -$20
Divide both sides of the equation by -0.07:
x miles = -$20 / -0.07
Simplifying:
x miles = 285.71
So, in order for the U-Haul rental to be a better deal than the Budget rental, Jessie would need to drive more than 285.71 miles. If she drives exactly 285.71 miles, the costs would be equal.