A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $45.50 and then an additional 4 cents per minute of use. In Plan B, the customer pays a monthly fee of $35 and then an additional 7 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.
The cost for Plan A can be calculated using the formula: Cost(A) = $45.50 + 0.04m (where m is the number of minutes of phone use)
The cost for Plan B can be calculated using the formula: Cost(B) = $35 + 0.07m (where m is the number of minutes of phone use)
We want to find the range of values for m where Cost(A) < Cost(B).
Therefore, we can set up the inequality:
$45.50 + 0.04m < $35 + 0.07m
To solve for m, we can subtract 0.04m and $35 from both sides of the inequality:
$10.50 < 0.03m
Dividing both sides of the inequality by 0.03:
$10.50 / 0.03 < m
Simplifying:
m > $350
Therefore, for any amount of monthly phone use greater than $350, Plan A will cost less than Plan B.