You are choosing between two different cell phone plans The

You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $44.95 plus 12 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute.

Solution

first plan equation is

y = .24 x

where y is the cost and x is the number of minutes

writing equation of 2 plan

y = 0.12x + 44.95

for 2nd plan to be more preferable cost of second plan must be less than cost of 1st plan

0.12x + 44.95 < .24x

subtracting .12 x from both sides

44.95 < .12 x

x > 374.583

x > 375

therefore , second plan is more preferable if you use more than 375 minutes