Question

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

Answer 1

The two plans don't fall directly on a same prive, but after 3 hours of Data usage plan B costs more than plan A

After three hours plan A= $18.60

While plan B after three hours =$19.09

That means 3 hours has to pass before plan B costs more, That is 180 minutes

The rule per hour is $1.2 per hour for plan A and $4.8 per hour for plan B

Answer 2

Answer: After 172 minutes (approx) the usage of plan A is same as the plan B.

Explanation:

Here, For phone plan A, the cost is $15.00 to connect and then $0.02 per minute.

And, For phone plan B, the cost is $4.69 to connect and then $0.08 per minute.

Let after x minutes the total usage of plan A is same as plan B.

Therefore,
`15.00 + 0.02 x = 4.69 + 0.08 x`

`15.00 = 4.69 + 0.08 x - 0.02 x`

`15.00 - 4.69 = 0.06 x`

`0.06 x = 10.31`

`x = (10.31)/(0.06)`

`x = 171.833333333\approx 172`

Thus, after 172 minutes (approx) the usage of both plan will be same.