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Exemplo 3.55 de Elementary Algebra, 3.6 Solve Applications with Linear Inequalities
Problema e solução em inglês, como no livro original.
Pete works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925?
Resolva no papel primeiro. Depois abra a solução um passo de cada vez e pare assim que conseguir terminar sozinho.
| Step 1. Read the problem. | |
| Step 2. Identify what we are looking for. | the total sales needed for his variable pay option to exceed the fixed amount of $925 |
| Step 3. Name what we are looking for.
Choose a variable to represent that quantity. |
Let the total sales. |
| Step 4. Translate. Write a sentence that gives the information to find it. Translate into an inequality. Remember to convert the percent to a decimal. |
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| Step 5. Solve the inequality. | |
| Step 6. Check the answer in the problem and make sure it makes sense.
If we round the total sales up to $4,000, we see that , which is more than $925. |
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| Step 7. Answer the question with a complete sentence. | The total sales must be more than $3,541.67. |
O Try It do livro logo depois deste exemplo: mesma ideia, outros números. Só a resposta é dada.
Tiffany just graduated from college and her new job will pay her $20,000 per year plus 2% of all sales. She wants to earn at least $100,000 per year. For what total sales will she be able to achieve her goal?
Como foi?