Kim is a math and science tutor. She offers tutoring sessions that are 1, 1.5, 2, 2.5, or 3 hours long. The equation m=15h + 30 represents her charge in dollars

Question

(continued) for a math session that is h hours long. For science, she charges the same one-time fee but a different hourly rate. She charges $105 for a 3-hour science tutoring session. Write an equation in slope-intercept form that represents the total charge, s, of a science tutoring session that is h hours long, and find the reasonable range of that equation.

Answer 1

The only math information that is relevant is the flat fee of $30

Kim charges $105/3 or $35 per hour in science

s = 30 + 35h

 

What do you mean by "reasonable" in reasonable range?