Section C Section C Checkpoint

Problem 1

Here is a situation: A farmer has 120 cubic yards of sawdust. She uses 7 cubic yards of sawdust each week as bedding for her animals. When will the farmer have less than 50 cubic yards of sawdust left?

  1. Write an inequality that represents the situation. Make sure to explain what your variable represents.

  2. Solve the inequality. Describe what the solution tells us about the situation.

  3. Graph the solution to the inequality on the number line.

    Blank number line, 11 evenly spaced tick marks, no labels.

Show Solution
Solution
  1. -7x+120<50\text{-}7x + 120 < 50 (or equivalent) where xx is the number of weeks from now
  2. x>10x > 10 (or equivalent). Sample response: The farmer will have less than 50 cubic yards of sawdust anytime after 10 weeks from now.
  3. Sample response:
Show Sample Response
Sample Response
  1. -7x+120<50\text{-}7x + 120 < 50 (or equivalent) where xx is the number of weeks from now
  2. x>10x > 10 (or equivalent). Sample response: The farmer will have less than 50 cubic yards of sawdust anytime after 10 weeks from now.
  3. Sample response: