Question 988104

I need help please: A cellular phone company offers its customers a rate of $49 for up to 200 min per month of cellular phone time, or a rate of $31 per month plus $0.60 for each minute of cellular phone time. For how many minutes per month can a customer who chooses the second option use a cellular phone before the charges exceed those of the first option?
<pre>Let the amount of minutes used for option 2 that'll exceed charges for option 1, be m
Option 1: Cost, or {{{C(m) = "$"49}}} for {{{m <= 200}}}
Option 2: Cost, or {{{C(m) = .6m + 31}}}
For C(m) for option 2 to exceed C(m) for option 1, we get: {{{.6m + 31 > 49}}}
{{{.6m >= 49 - 31}}}
{{{.6m > 18}}}
m, or minutes > {{{18/.6}}}, or {{{highlight_green(m > 30)}}}