I want detail answer

Question

You are choosing between two different cell phone plans. The first plan charges a rate of 20 cents per minute. The second plan charges a monthly fee of $34.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

Answer 1

Plan A: ($0.20/min)

Plan B: ($34.95 + $0.10/min)

Let x be the minutes used, so that the total cost of each plan becomes:

Plan A: ($0.20/min)x

Plan B: $34.95 + ($0.10/min)x

let's find out how many minutes would result in equal plan costs:

Plan A: = Plan B:

($0.20/min)x = $34.95 + ($0.10/min)x

($0.20/min)x - ($0.10/min)x= $34.95

($0.10/min)x= $34.95

x = 349.6 minutes

At 349.6 minutes both plans are equal cost. More than 340.6 minutes, Plan A becomes more expensive.