Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

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Mathematics

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11 November, 10:06

Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

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Pedro Best · Answer 1

Complete Question

Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Answer:

Inequality: 70 + 0.05x < 80

Solution: x < 200

Step-by-step explanation:

Let x represents the minimum number of SMS.

If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x

Considering that she pays a flat rate of $70.

The inequality to represent the minimum number of SMS she needs to send is:

70 + 0.05x < 80

To solve this inequality, follow the following steps

Collect like terms

0.05x < 80 - 70

0.05x < 10

Divide through by 0.05

0.05x/0.05 < 10/0.05

x < 10/0.05

x < 200

The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.