Phone rates, money

Question

A long distance carrier charges a flat rate of $.09 per minute for telephone calls. A second carrier charges $.30 for the first minute and $.06 for each additional minute. After how many minutes will the second carrier be less expensive than the first carrier?

Answer 1

y= 0.09x

⌈ 0.3 , 0<x<= 1

y= |

⌊ 0.06x+ 0.3 , 1<x<∞

The point where both are the same is:

0.09x = 0.06x + 0.3

0.03x = 0.3

x = 0.3/0.03 =__Minutes