You need to purchase a new cell phone plan. Company A offers 700 minutes of talk time per month but they charge 15 cents for every minute you go over the 700 included minutes. Company A will charge you $40 per month for this plan. Company B offers 500 minutes of talk time per month, but they charge only 5 cents per minute for exceeding the 500 minutes. Company B charges $50 per month for this plan. At what number of minutes per month would both plans charge the same amount?

Answer:900 minutesStep-by-step explanation:Plan A: 700 free minutes + 15 cents per minute over 700 ($40) Plan B: 500 free minutes + 5 cents per minute over 500 ($50) The charges for x minutes (assumed x>700) for plan A will be 40+0.15(x-700) The charges for x minutes (assumed x>500) for plan B will be 50+0.05(x-500) To find the value of x where both charges are the same, we equate 40+0.15(x-700)=50+0.05(x-500) Operating 40+0.15x-105=50+0.05x-25 Simplifying 0.10x=90 x=900 minutes Both plans would charge the same amount when 900 minutes per month are used