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.
I will set up the U-Haul equation for you
cost = .25m + 35, where m is the number of miles
you set up the Budget equation.
then equate
.25m + 35 = (your Budget expression)
and solve for m
25 cents = $ 0.25
32 cents = $ 0.32
m = numbers of miles
U- Haul rental = $35 + $ 0.25 m
Budget Rental = $25 + $ 0.32 m
$35 + $ 0.25 m < $25 + $ 0.32 m
35 + 0.25 m < 25 + 0.32 m
35 - 25 < 0.32 m - 0.25 m
10 < 0.07 m
10 / 0.07 < m
142.86 < m
m > 142.86 miles
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 can set up an equation.
Let's assume the number of miles Jessie would need to drive is represented by 'x'.
For the U-Haul rental, the cost for two days would be:
Cost = (35 * 2) + (0.25 * x)
For the Budget rental, the cost for two days would be:
Cost = (25 * 2) + (0.32 * x)
By setting up the equation:
(35 * 2) + (0.25 * x) < (25 * 2) + (0.32 * x)
Now, let's solve the equation to find the value of 'x':
70 + 0.25x < 50 + 0.32x
Subtracting 0.25x from both sides:
70 - 0.25x < 50 + 0.07x
Combining like terms:
0.07x - 0.25x < 50 - 70
-0.18x < -20
Dividing by -0.18 (which is the same as multiplying by -1/0.18) to isolate 'x':
x > -20 / -0.18
x > 111.11
So, Jessie would need to drive more than 111.11 miles for the U-Haul rental to be a better deal than the Budget rental.