Let c be the total charge​ (in dollars) for t hours of tutoring. Are t and c linearly​ related?

Question

A math tutor charges $2020 per hour. Let c be the total charge (in dollars) for t hours of tutoring. Are t and c linearly related? If so, find the slope and describe what it means in this situation.

Please help me!

Answer 1

The cost equation that models this situation is ... c = $20.20t

 

When t = 1, c = $20.20

When t = 2, c = $40.40

When t = 3, c = $60.60   ... and so on

 

This is a linear relationship ... the slope-intercept form of the equation for a line is y = mx + b.  Thus the slope of our line is 20.20.  It means that for every hour of tutoring will cost $20.20.  As the hours increase, the cost increases by $20.20 for every whole number increase in hours.