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Example 3.53 from Elementary Algebra, 3.6 Solve Applications with Linear Inequalities
Emma got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Emma’s monthly income must be at least three times as much as the rent. What is the highest rent Emma will qualify for?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
| Step 1. Read the problem. | |
| Step 2. Identify what we are looking for. | the highest rent Emma will qualify for |
| Step 3. Name what we are looking for.
Choose a variable to represent that quantity. |
Let the rent. |
| Step 4. Translate into an inequality. First write a sentence that gives the information to find it. |
Emma's monthly income must be at least three times the rent. |
| Step 5. Solve the inequality.
Remember, has the same meaning as . |
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| Step 6. Check the answer in the problem and make sure it makes sense.
A maximum rent of $1,755 seems reasonable for an income of $5,625. |
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| Step 7. Answer the question with a complete sentence. | The maximum rent is $1,755. |
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Alan is loading a pallet with boxes that each weighs 45 pounds. The pallet can safely support no more than 900 pounds. How many boxes can he safely load onto the pallet?
How did it go?