Edward C. answered 03/09/15
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Caltech Grad for math tutoring: Algebra through Calculus
You have the first part right, if m < 300 the charge is 30.
If m >= 300 the charge is 30 plus 0.50 for each minute above 300, which is
p(m) = 30 + 0.5*(m-300) if m >= 300
You can simplify this to p(m) = 0.5*m - 120 if m >= 300