Question

Bob is trying to decide between two cell phone plans. Plan A has no flat fee, but the user must pay cents per minute on the phone. Plan B requires a one-time fee of , but only requires a payment of cents per minute on the phone. What is the minimum whole number of minutes Bob has to use the phone for to make Plan B the cheaper plan?

Answer 1

Answer:

Bob must use at least 401 minutes to make Plan B cheaper.

Step-by-step explanation:

Let x be the number of minutes that Bob anticipates using. Plan A costs 10x cents, while Plan B costs 2000 + 5x cents. We therefore have the inequality

2000+5x < 10x

2000 < 5x

400 < x.

The smallest integer x such that 400 < x is 401.