Question

Jessica wants to spend less than $50.00 per month on her cell phone bill. Write an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $50.00. Use the symbol for your inequality.

Answer 1

Missing part of question:

Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.

Answer:

20.00 + 0.05x < 50.00

Explanation:

Given

Base Amount = $20

Rate = $0.05 per text

Budget = Less than $50.00

Required

Write an inequality that represents the scenario

Let x represents the number of texts

To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.

Mathematically, we have:

Base Amount + Rate * x < Budget

Substitute values for Base Amount, Rate and Budget, this gives:.

20.00 + 0.05 * x < 50.00

20.00 + 0.05x < 50.00

Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00

Solving further for x, we have:

20.00 + 0.05x < 50.00

Collect Like Terms

0.05x < 50.00 - 20.00

0.05x < 30.00

Solve for x

x < 30.00/0.05

x < 600

This means that she must send less than 600 text messages.