Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *

Step-by-step explanation:

Step one:

Given data

AT&T’s plan

monthly charge= $19.99

additional charge per minute= $0.35

let the number of minutes be x

let the total charges be

y=0.35x+19.991

Verizon’s plan

monthly charge= $34.99

additional charge per minute= $0.3

let the number of minutes be x

let the total charges be

y=0.3x+34.992

Step two:

equating the two equations above we have

0.35x+19.99=0.3x+34.99

collect like terms

0.35x-0.3x=34.99-19.99

0.05x=15

divide both sides by 0.05

x=15/0.05

x=300

For the two plans to cost the same, it will take 300 minutes

a

step-by-step explanation: