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AssignmentMultiple Select

Inequalities in the Real World

Question 1 • *Integrated Math II Full

A movie club charges $10 per month, plus $1.50 per rental. Diego spends no more than $25 per month on movies. Describe the graph representing the number of Diego’s rentals. Check all that apply.

Answer
A
The graph has an open circle at 2.5.
B
The graph has a closed circle at 2.5.
C
The graph has an open circle at 10.
D
The graph has a closed circle at 10.
E
The arrow points left.

Explanation

Let r be the number of rentals. The monthly cost is $10 + $1.50r, and Diego spends no more than $25, so $10 + $1.50r ≤ $25. Subtracting $10 and dividing by $1.50 gives r ≤ 10. Since 10 rentals is allowed, the graph has a closed circle at 10 and an arrow pointing left.

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