Kedar is comparing the costs of phone plans. for phone plan a, the cost is $15.00 to connect and then $0.02 per minute. for phone plan b, the cost is $4.69 to connect and then $0.08 per minute. for what usage does plan a cost the same as plan b? (hint: find total minutes and then convert to hours and minutes.)

3 h 2 min

2 h 42 min

3 h 12 min

2 h 52 min

  2 h 52 min

Step-by-step explanation:

Let m represent the number of minutes that will make the plans have equal cost. Equating the two plan costs, we have ...

  15.00 + 0.02m = 4.69 + 0.08m

  10.31 = 0.06 m . . . . . subtract 4.69+0.02m

  10.31/0.06 = m = 171.8333... ≈ 172 . . . . minutes at equal cost

There are 60 minutes in an hour, so ...

  172 minutes = 120 minutes + 52 minutes = 2 hours + 52 minutes

Plan A will cost the same as Plan B for 2 h 52 min of usage.

no solution exists the way you wrote the equation.