4. Rick works at a diner. He makes $12 an hour plus a mandatory gratuity of $4 from each group he serves. His weekly living expenses total $600. (a) Let H represent the number of hours he works in a week and let G represent the number of groups he serves in a week. Write and graph an inequality that shows the various ways he can earn more money than his weekly expenses. (b) Identify a point in the solution set and write a sentence to explain what the point represents in the context of the problem.
4. Rick works at a diner. He makes $12 an hour plus a mandatory gratuity of $4 from each group he serves. His weekly living expenses total $600. (a) Let H represent the number of hours he works in a week and let G represent the number of groups he serves in a week. Write and graph an inequality that shows the various ways he can earn more money than his weekly expenses. (b) Identify a point in the solution set and write a sentence to explain what the point represents in the context of the problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer in complete sentences. SHOW ALL WORK and steps to solve the problem:

Transcribed Image Text:4. Rick works at a diner. He makes $12 an hour plus a mandatory gratuity of $4 from
each group he serves. His weekly living expenses total $600.
(a) Let H represent the number of hours he works in a week and let G represent
the number of groups he serves in a week. Write and graph an inequality that
shows the various ways he can earn more money than his weekly expenses.
(b) Identify a point in the solution set and write a sentence to explain what the
point represents in the context of the problem.
5. Graph the solution set to the following system of inequalities:
3
+5
5
2.x – 4y > 8
-
x > 1
Expert Solution

Step 1
According to the given information Rick earns $12/hour and $4/group he serves, and his weekly expenses is $600.
For part a:
To write and graph an inequality showing that Rick earns more money than his weekly expenses.
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