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

\(\boxed{280}\) 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: \(35 + 0.08m \leq 40.60 + 0.06m\)

Step 2 :Subtract 0.06m from both sides: \(0.02m \leq 5.60\)

Step 3 :Divide both sides by 0.02: \(m \leq 280\)

Step 4 :\(\boxed{280}\) minutes or less of monthly phone use, Plan A will cost no more than Plan B.

link_gpt