SOLUTION: Hans can rent a van for either $75 per day with unlimited mileage or $45 per day with 100 free miles and an extra charge of 15 cents for each mile over 100. For what numbers of mil

Question 811781: Hans can rent a van for either $75 per day with unlimited mileage or $45 per day with 100 free miles and an extra charge of 15 cents for each mile over 100. For what numbers of miles traveled would the unlimited mileage plan save Hans money?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
pay for miles:
c = 15(m - 100) + 45
---
unlimited miles:
c = 7500
---
break even:
15(m - 100) + 45 = 7500
15m - 1500 + 45 = 7500
15m = 8955
m = 597 miles
---
check #1 pay for miles:
c = 15(597 - 100) + 45
c = 8955 - 1500 + 45
c = 7500 cents = $75.00
---
check #2 pay for miles:
c = 15(596 - 100) + 45
c = 8940 - 1500 + 45
c = 74.85 cents = $74.85
---
check #3 pay for miles:
c = 15(598 - 100) + 45
c = 8970 - 1500 + 45
c = 7515 cents = $75.15
---
at exactly 598 miles it becomes cheaper to buy the unlimited miles
---
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