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.