Section D Section D Checkpoint

Problem 1

Tyler bought 4 ounces of vegetable seeds for $10 from an online store that sells seeds in bulk. 

weight of seeds (ounces) cost (dollars)
4 10
10
35
50

  1. Complete the table to show the costs for different amounts of seeds.  

  2. Write an equation that shows the relationship between the weight of seeds in ounces, ww, and the cost in dollars, cc.
Show Solution
Solution
  1. weight of seeds (ounces) cost (dollars)
    4 10
    10 25
    14 35
    50 125
  2. 2.5w=c2.5w = c or w=0.4cw = 0.4c (or equivalent)
Show Sample Response
Sample Response
  1. weight of seeds (ounces) cost (dollars)
    4 10
    10 25
    14 35
    50 125
  2. 2.5w=c2.5w = c or w=0.4cw = 0.4c (or equivalent)

Problem 2

Diego worked out a deal with his parents. For every hour that he reads a book, he earns 14\frac14 hour of screen time. Diego uses the equation s=14rs=\frac14r to represent this relationship.

  1. What does each variable in the equation represent?
  2. Which is the independent variable? Which is the dependent variable? Explain how you know.
Show Solution
Solution
  1. The variable ss represents the number of hours of screen time Diego earns and the variable rr represents the number of hours Diego reads.
  2. The independent variable is rr and the dependent variable is ss. Sample reasoning: The number of hours of screen time Diego earns depends on the number of hours he reads.
Show Sample Response
Sample Response
  1. The variable ss represents the number of hours of screen time Diego earns and the variable rr represents the number of hours Diego reads.
  2. The independent variable is rr and the dependent variable is ss. Sample reasoning: The number of hours of screen time Diego earns depends on the number of hours he reads.