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.

A) 20 + 10x ≤ 40; She can send 2 text messages.
B) 20 + 10x ≥ 40; She can send 2 text messages.
C) 20 + 0.10x ≤ 40; She can send 20 text messages.
D) 20 + 0.10x ≤ 40; She can send 200 text messages.

Answer 1

20 + 0.10x < = 40
0.10x < = 40 - 20
0.10x < = 20
x < = 20 / 0.10
x < = 200
so ur answer is : D

Answer 2

Answer: D) 20 + 0.10x ≤ 40; She can send 200

Explanation:

Hi, to answer this question we have to analyze the information given part by part:

• Cell phone plan: $20

• Price per message: $0.10

So, if the number of messages is the variable (x), the money that she spends per month is the sum of the cell phone plan ($20) and the number of text messages sent (x) multiplied by the price of each text ($0.10).

Mathematically speaking:

20 + 0.10x

She does not want to spend more than $40 on her cell phone bill.

So, the expression must be equal or less (≤) than $40:

20 + 0.10x ≤ 40

Solving:

20 + 0.10x ≤ 40

0.10x ≤ 40-20

0.10x ≤ 20

x ≤ 20 / 0.10

x ≤ 200

She can send 200 text messages.

The correct option is D) 20 + 0.10x ≤ 40; she can send 200 text messages.