You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $44.95 plus 11 cents per minute.How many minutes would you have to use in a month in order for the second plan to be preferable?

Answer: it would take 409 minutes before the second plan is preferable.Step-by-step explanation:Let x represent the number of minutes that you used with either the first plan or second planLet y represent the total cost of x minutes with the first plan.Let z represent the total cost of x minutes with the second plan.The first plan charges a rate of 22 cents per minute. This means that the total cost of x minutes would bey = 22xThe second plan charges a monthly fee of $44.95(4495 cents) plus 11 cents per minute. This means that the total cost of x minutes would bez = 11x + 4495Let us determine the number of minutes before the cost of x minutes using both plans becomes the same, we would equate y to z. It becomes22x = 11x + 449522x - 11x = 449511x = 4495x = 408.63Since the second plan is cheaper with more minutes, if we go beyond x, it will be cheaper than the first plan. So wen x is 409, First plan = 22×409 = 8998 centsSecond plan = 11×409 + 4495 = 8994 cents. Second plan is lower at 409 minutes