Question

You can choose between two telephone companies. Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. How many minutes must you use to make Company A a better deal

Answer 1

Answer: Company A would be a better deal for number of minutes over 200

Explanation:

Let x represent the number of minutes that you would use with either company A or company B.

Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. It means that the cost of x minutes of long distance call is

10 + 0.05x

Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. It means that the cost of x minutes of long distance call is 10 + 0.05x

8 + 0.06x

For Company A to be a better deal, it means that

10 + 0.05x < 8 + 0.06x

10 - 8 < 0.06x - 0.05x

2 < 0.01x

0.01x > 2

x > 2/0.01

x > 200