jasmine is on a cell phone plan where she pays $20 a month plus $0.10 per text message. she does not want to…

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.\na 20 + 10x ≤ 40; she can send 2 text messages.\nb 20 + 10x ≥ 40; she can send 2 text messages.\nc 20 + 0.10x ≤ 40; she can send 20 text messages.\nd 20 + 0.10x ≤ 40; she can send 200 text messages.

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.\na 20 + 10x ≤ 40; she can send 2 text messages.\nb 20 + 10x ≥ 40; she can send 2 text messages.\nc 20 + 0.10x ≤ 40; she can send 20 text messages.\nd 20 + 0.10x ≤ 40; she can send 200 text messages.

Answer

Explanation:

Step1: Set up the inequality

Let (x) be the number of text messages. The monthly cost is (20 + 0.10x) (fixed cost (20) plus (0.10) per text). She doesn't want to spend more than (40), so the inequality is (20+0.10x\leq40).

Step2: Solve the inequality for (x)

Subtract (20) from both sides: (20 + 0.10x-20\leq40 - 20) (0.10x\leq20) Divide both sides by (0.10): (x=\frac{20}{0.10}=200)

Answer:

D. (20 + 0.10x\leq40); She can send (200) text messages.