Question

Write a real-world problem that could be solved with the inequality 23m + 4 > 96 Solve the problem with work shown. Write a sentence that explains the solution using the context from the real-world problem.

Answer 1

Answer:

The given inequality is

$23m + 4 > 96$

Where $m$ represents minutes.

A problem that can be modeled by this inequality is:

Lucy earn $23 per minute, with an extra $4 due to punctuality, which must give more than $96 a day so she can make a living with that job. How many minutes does she need to work?

To solve the problem, we just solve the expression for $m$

$23m +4 > 96\\23m > 96-4\\23m > 92\\m > \frac{92}{23}\\ m > 4$

Therefore, Lucy needs to work more than 4 minutes in order to make a living with that job.