Problem

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $35 and then an additional 8 cents per minute of use. In Plan B, the customer pays a monthly fee of $40.60 and then an additional 6 cents per minute of use.
For what amounts of monthly phone use will Plan A cost no more than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.

Answer

Expert–verified
Hide Steps
Answer

280 minutes or less of monthly phone use, Plan A will cost no more than Plan B.

Steps

Step 1 :Set up an inequality to represent the situation: 35+0.08m40.60+0.06m

Step 2 :Subtract 0.06m from both sides: 0.02m5.60

Step 3 :Divide both sides by 0.02: m280

Step 4 :280 minutes or less of monthly phone use, Plan A will cost no more than Plan B.

link_gpt