Let x represent the number of minutes of phone use in a month.
For Plan A, the cost is just 8 cents per minute of use, so the total cost is 0.08x.
For Plan B, the cost is $9.80 plus an additional fee per minute of use. Let's call the additional fee per minute of use y. Therefore, the total cost for Plan B is $9.80 + yx.
We want to find the amount of monthly phone use where Plan A cost more than Plan B, so we need to find the point where the two plans will have equal cost.
Setting the two expressions for cost equal to each other, we get:
0.08x = 9.80 + yx
Rearranging terms, we get:
0.08x - yx = 9.80
Factoring out an x, we get:
x(0.08 - y) = 9.80
Now we need to solve for x:
x = 9.80 / (0.08 - y)
Therefore, for any amount of monthly phone use x greater than 9.80 / (0.08 - y), Plan A will cost more than Plan B.
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 $9.80 and then an additional fee per minute of use. For what amounts of monthly phone use will Plan A cost more than plan B?
1 answer
1 answer