PLEASE HELP w/ THIS WORD PROBLEM:
A telephone company offers two long-distance plans:
Plan A:$25 per month and 5¢ per minute
Plan B:$5 per month and 12¢ per minute
For how many minutes of long-distance calls would Plan B be financially advantageous?

Question

PLEASE HELP w/ THIS WORD PROBLEM:
A telephone company offers two long-distance plans:
Plan A:$25 per month and 5¢ per minute 
Plan B:$5 per month and 12¢ per minute
For how many minutes of long-distance calls would Plan B be financially advantageous?

anonymous · Answer

let x = minutes you spend
so the equations here:
5+0.12x = 25 + 0.05x
where the total amount in plan B has to be less than plan A
solve for x
20 = 0.07x
x = 20/0.07
x = 285.7 round to 285
so if you use 285 or less minutes, plan B is better

anonymous · Answer

Thank you! this helped a lot