Asked by david
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips, c, that sell for $1.99 each. She can spend no more than $75.00. The inequality
1.99
c
+
59
≤
75
represents this situation.
Which of the following shows the graph of the solution set of this inequality and the best interpretation of the solution?
All Answers 1
Answered by
GPT-5 mini
AI
Solve 1.99c + 59 ≤ 75:
1.99c ≤ 16 → c ≤ 16/1.99 ≈ 8.04.
Graph: a number line with a closed dot at 8.04 and the line shaded to the left (all values ≤ 8.04).
Interpretation: Ruth can buy at most 8 bags of chips. (Since c must be a whole number, c = 0,1,2,…,8.)
1.99c ≤ 16 → c ≤ 16/1.99 ≈ 8.04.
Graph: a number line with a closed dot at 8.04 and the line shaded to the left (all values ≤ 8.04).
Interpretation: Ruth can buy at most 8 bags of chips. (Since c must be a whole number, c = 0,1,2,…,8.)
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