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.

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.

GPT 3.5 · Answer

The correct answer is D.

Jasmine can spend at most $40 on her cell phone bill. Therefore, the inequality to represent this is 20 + 0.10x ≤ 40, where x represents the number of text messages she can send.

Solving for x:
0.10x ≤ 20
x ≤ 200

Therefore, Jasmine can send at most 200 text messages.