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 answer is C. 20 + 0.10x ≤ 40; She can send 20 text messages.
To determine the number of text messages Jasmine can send, we need to write an inequality that represents her cell phone bill being less than or equal to $40.
First, we know that Jasmine pays a fixed monthly fee of $20. This is represented by the term 20 in the inequality.
Second, we know that Jasmine pays $0.10 per text message. Since the number of text messages is represented by x, the cost of the text messages would be 0.10x.
Adding these two costs together, the inequality becomes: 20 + 0.10x ≤ 40.
To solve this inequality, we can subtract 20 from both sides: 0.10x ≤ 20.
Then, we divide both sides by 0.10 to isolate x: x ≤ 200.
This means Jasmine can send up to 200 text messages and her bill will still be less than or equal to $40.