MATH SOLVE

3 months ago

Q:
# Use the strategy for solving word problems, translating from the verbal conditions of the problem to a linear inequality. You are choosing between two telephone plans. Plan A has a monthly fee of $15 with a charge of $0.08 per minute for all calls. Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all calls. How many calling minutes in a month make plan A the better deal?

Accepted Solution

A:

Answer: The plan A would be better deal for more than 300 calling minutes.Step-by-step explanation:Since we have given thatPlan A has a monthly fee of $15 with a charge of $0.08 per minute for all callsLet the number of minutes be 'x'.So, Equation would be [tex]15+0.08x[/tex] Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all calls. So, Equation would be [tex]3+0.12x[/tex]We need to find the number of calling minutes in a month to make plan A the better deal.[tex]15+0.08x>3+0.12x\\\\15-3>0.12x-0.08x\\\\12>0.04x\\\\\dfrac{12}{0.04}>x\\\\300>x[/tex]Hence, the plan A would be better deal for more than 300 calling minutes.