Section B Section B Checkpoint

Problem 1

Elena’s family has budgeted $200 for the year for streaming services. One service charges $15.50 per month, and another charges $10 per month. Write an inequality whose solutions are the number of months subscribed to the two services if they work within the budget.

Use xx for the number of months they subscribe to the more expensive service and yy for the number of months they subscribe to the less expensive service.

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Solution
15.50x+10y≤20015.50x + 10y \leq 200
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Sample Response
15.50x+10y≤20015.50x + 10y \leq 200

Problem 2

The graph represents the solution to an inequality.

  1. Write one pair of values that satisfy the inequality.
    x=y=x=\\y=
  2. Does a point on the boundary line represent a solution to the inequality? Explain your reasoning.
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Solution
Sample response:
  1. x=5,y=11x = 5, y = 11
  2. No. It is a dashed line, which indicates that points on the lines are not solutions.
Show Sample Response
Sample Response
Sample response:
  1. x=5,y=11x = 5, y = 11
  2. No. It is a dashed line, which indicates that points on the lines are not solutions.