Algebra 1 CC

Unit 2 Task 2: Classes at the Gym

Name ______

Date______Period ______

Now that you have a gym chosen, you notice that they offer special classes for an additional fee. Group classes cost $5 per class and individual instruction classes cost $10 per class. Suppose you want to take at least 5 classes per week butyou don’t want to spend more than $50 per week on the classes.

  1. Write a system of inequalities that represent the situation. Be sure to define any variable you use, including units.

x = ______y = ______

Inequality 1: ______

Inequality 2: ______

  1. Graph the system of inequalities you defined in the problem above. Be sure to label your axes appropriately.
  1. Choose a point in the solution region and interpret its meaning in terms of the context given. Explain in terms of the context why this point is a solution to the system. Be sure to identify the coordinates of the point in your explanation below.

Point: ( , )

Explanation: I can choose _____ group classes and _____ individual classes and spend $______. This is ______(greater than, less than, equal to) my $50 budget for the week.

  1. (Advanced) Choose a point not in the solution region and interpret its meaning in terms of the context given. Explain why this point is not a solution to the system in terms of the context of the problem. Be sure to identify the coordinates of the point in your explanation below.

Point: ( , )

Explanation: ______

______

______

______

Scoring Guide Task 2
Thorough Understanding
96-100% / Adequate Understanding
81-95% / Partial Understanding
66-80% / Minimal Understanding
0-65%
Meets all of the "Adequate Understanding" criteria plus:
Completes correctly problem 4
/ Defines “x” with appropriate units
Defines “y” with appropriate units
Writes a correct inequality for Inequality 1
Writes a correct inequality for Inequality 2
“Inequality 1”graphed correctly
“Inequality 2”graphed correctly
Graph is scaled and labeled appropriately/correctly
Point chosen correctly from the solution region
Explained answer to question 3 / Meets less than all the adequate understanding criteria but more than 50% of the "adequate understanding criteria. / Meets 50% or less than the adequate understanding criteria.
10 – 100%
(99-96% – proportional
credit for attempting)
(+1%point for attempting) / 9 – 95%
8 – 90%
7 – 85%
(+1%point for attempting) / 6 – 75%
5 – 70%
(+1%point for attempting) / 4 – 65%
3 – 60%
2 – 55%
1 – 50%
0 – 0%
(+1%point for attempting)