Question

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $35 and then an additional 6 cents per minute of use. In Plan
B, the customer pays a monthly fee of $36 and then an additional 5 cents per minute of use.
For what amounts of monthly phone use will Plan A cost less than Plan B?
Use m for the number of minutes of phone use, and solve your inequality for m.

Answer 1

Answer: Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes

Step-by-step explanation:

Let m be the number of minutes of phone use.

We can convert $35 and $36 to 3500 cents and 3600 cents respectively.

Then, in Plan A, it would cost 3500 + 6m and in Plan B, it would cost 3600 + 5m.

Since we want Plan A to cost less, we can set up an inequality saying:

$3500 + 6m \leq 3600 + 5m$

We can subtract 3500 + 5m from both sides:

$m\leq 100$

Therefore, Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes.