Question

9) A basic cell phone plan at Verizon Wireless costs $45 a month with an additional $0.10 per text message sent. AT&T charges $30 a month with an additional $0.13 per text message sent. How many text messages would you have to send for the plans to cost the same? If you send an average of 1200 text messages a month, which company would you want to choose as your provider?
a. Define your variables &Write your system of equations
b. Use your equations to solve. Make sure you label your answer

Answer 1

Number of tests made =x

Verzon C(x) = 45 + 0.1x => 45+0.1*1200 =165

AT & T C(y) = 30 + 0.13x=> 30 + 0.13*1200=186

For 1200 texts C(x) is less than C(y)

If the costs are to be the same then

45 + 0.1x = 30 + 0.13x

15=0.03x

15/0.03= x

500=x

500 texts