Question

A cell phone company has offered you two different rates. The first rate is $35 per month and 5 cents per phone call (time does not matter). The second offer is $55 per month and 2 cents per call.

Part A: Set up the inequality to model this problem and find where it is less expensive to go with the second plan.

The cell phone company also has two texting plans. The first is unlimited texts for $12. The second plan is 8 cents per text.

Part B: Set up an inequality to show when it less expensive to go with the second texting plan.

Answer 1

Part A:

Let x = the number of phone calls.
55 + .02x < 35 + .05x

Answer 2

Part B:

Let t - the number of text messages

.08 < 12