Posted by **Joy** on Tuesday, July 30, 2013 at 3:48am.

There are two plans for renting a car. Plan A charges $10 per day plus a $50 one-time fee. Plan B charges $15 per day plus a $30 one-time fee. How many days must you rent the car for Plan A to be a better deal than Plan B?

- Discrete Mathematics -
**Steve**, Tuesday, July 30, 2013 at 4:35am
we need

50+10d < 30+15d

so, ...

- Discrete Mathematics -
**Joy**, Tuesday, July 30, 2013 at 4:43am
50 + 10d < 30 + 15d

-10d < - 10d

50 < 30 + 5d

-30 -30

20 < 5d

/5 < 5

4 < d

Please tell me if this is the right answer.

- Discrete Mathematics -
**Steve**, Tuesday, July 30, 2013 at 4:48am
Looks good to me.

If more than 4 days of rental, A is the better deal.

At d=4, A=B=90

After that, A grows more slowly than B.

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