Question

A van can be rented for $50 per day with unlimited mileage, or for $40 per day plus 25 cents per mile . For what daily mileages will be unlimited mileage plan save you money ?

Answer 1

Answer:

After 0.4 miles the Unlimited Mileage Plan is a better deal.

Daily Mileages > 0.4

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

First we can create a Formula to calculate the price of each plan, like so...

Unlimited Mileage:  50x = Total

Per mile: 40x + 25y = Total

• X being the days rented
• Y being amount of miles

Since we want to calculate at what daily mileage the unlimited plan becomes better than the regular, we can substitute x for 1 and equal both plans together. Then solve for the minimum amount of miles in which the prices meet.

$50(1) = 40(1) +25y$

$50 = 40 +25y$ ...subtract 40 on both sides

$10 =25y$ .... divide both sides by 25

$0.4= y$

Now we can see that at 0.4 miles both prices are the same. This means that after 0.4 miles the Unlimited Mileage Plan is a better deal.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.