At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.00 for every gigabyte of data used. Irfan wants to find out which plan is the best choice for him. On average, he uses five to eight GB of data per month

Answer:Part 1) The best choice is Plan APart 2) The data is [tex]6\frac{2}{3}\ GB[/tex]Step-by-step explanation:Part 1)Lety ----> the cost per monthx ----> the number of GB of data per monthwe know thatPlan A[tex]y=5x+30[/tex]Plan B[tex]y=2x+50[/tex]Find out which plan is the best choice if he uses five to eight GB of data per monthPlan AFor x=5 GB -----> y=5(5)+30=$55For x=8 GB -----> y=5(8)+30=$70sowith Plan A the cost is between $55 and $70 -----> average $62.5Plan BFor x=5 GB -----> y=2(5)+50=$60For x=8 GB -----> y=2(8)+50=$66sowith Plan B the cost is between $60 and $66 ----> average $63thereforeThe best choice is Plan APart 2) How much data would Irfan need to use for both plans to cost the same?we havey=5x+30 ----> equation Ay=2x+50 ----> equation BSolve the system of equations by eliminationSubtract equation B from equation A0=5x-2x+30-500=3x-203x=20[tex]x=\frac{20}{3}\ GB[/tex]Convert to mixed number[tex]x=6\frac{2}{3}\ GB[/tex] ----> for this data the cost is the same in both plans