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Question
Jasmine is on a cell phone plan where she pays $20 a month plus $0.10 per text message. She does not want to spend more than $40 on her cell phone bill. Write and solve the inequality that will tell her how many text messages she can send.
Responses
A 20 + 10x ≤ 40; She can send 2 text messages.20 + 10x ≤ 40; She can send 2 text messages.
B 20 + 10x ≥ 40; She can send 2 text messages.20 + 10x ≥ 40; She can send 2 text messages.
C 20 + 0.10x ≤ 40; She can send 20 text messages.20 + 0.10x ≤ 40; She can send 20 text messages.
D 20 + 0.10x ≤ 40; She can send 200 text messages.
The correct response is C: 20 + 0.10x ≤ 40; She can send 20 text messages.
Explanation: Jasmine can spend at most $40 on her cell phone bill. She already pays $20 per month, so the additional cost from sending text messages should not exceed $20. Since each text message costs $0.10, the inequality becomes 20 + 0.10x ≤ 40, where x is the number of text messages. Solving for x gives x ≤ 20, meaning Jasmine can send at most 20 text messages within her budget.