Question

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.19 for each minute of calls. Plan B costs $22 plus an additional $0.15 for each minute of calls. When will the two plans cost the same

Answer 1

The cost will be equal after 5 hours.

Step-by-step explanation:

Given:

A phone company offers two monthly plans.

Plan A costs =$10 plus an additional $0.19 for each minute of calls.

Plan B costs= $22 plus an additional $0.15 for each minute of calls.

solution:

Now, let n represents the number minutes of call.

For plan A

total cost = $10 additional + $0.19 for each minute

total cost = 10 + 0.19 x n

For plan B

total cost = $22 + $0.15 for each minute

total cost = 22 + 0.15 x n

Then, we have to equate both the costs, to get the required answer

10 + 0.19n = 22 + 0.15n

0.19n – 0.15n = 22 – 10

0.04n = 12

`n = ( 12)/(0.04)`

n = 300

So, the cost will be equal after 300 minutes

5 x 60 minutes

5 x 1 hour

5 hours

Hence, the cost will be equal after 5 hours.