Question

a phone company offers two monthly charge plans. in plan a, there is no monthly fee, but the customer pays 8 cents per minute of use. in plan b, the customer pays a monthly fee of $2.80 and then an additional 7 cents per minute of use. for what amounts of monthly phone use will plan a cost more than plan b? use ( m ) for the number of minutes of phone use in a month, and solve your inequality for ( m ).

Explanation:

Step1: Define cost equations

Let $m$ = monthly minutes.
Plan A cost: $0.08m$
Plan B cost: $2.80 + 0.07m$

Step2: Set up inequality for Plan A > Plan B

$0.08m > 2.80 + 0.07m$

Step3: Subtract $0.07m$ from both sides

$0.08m - 0.07m > 2.80$
$0.01m > 2.80$

Step4: Solve for $m$

$m > \frac{2.80}{0.01}$
$m > 280$

Answer:

When the monthly phone use is more than 280 minutes, Plan A costs more than Plan B.