Section A Section A Checkpoint

Problem 1

A hair stylist job pays $20 per hour and $5 per haircut. 
  1. Describe any variables needed to write an equation to represent how much the hair stylist makes in a day of work. Choose a letter to represent each variable. For example, “EE is the amount of money earned that day.”

  2. Write an equation using the variables that you selected to represent how much the hair stylist makes in a day of work.
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Solution
Sample response:
  1. hh is the number of hours worked in the day, cc is the number of haircuts that day, and EE is the amount of money earned that day.
  2. 20h+5c=E20h+5c=E

Problem 2

The equation 4s+t=1004s+t=100 represents the number of students, ss, and teachers, tt, who go on a field trip.
  1. What does it mean that s=22s=22 and t=12t=12 is a solution to the equation?

  2. How could you use a graph representing the equation to find another solution?
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Solution
Sample response:
  1. Substituting those values into the equation produces a true equation.
  2. A point on the line representing the graph is a solution.