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LaShai

  • 2 years ago

The sales tax on a new car varies directly to (or is directly proportional to) the price of the car. If $1,800 in sales tax is paid for a $25,000 car, what is the purchase price of a car worth $1,600 in sales tax?

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  1. geoffb
    • 2 years ago
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    You know that you pay $1800 on a $25000 car. What you need to know is the value of a car when you spend $1600 in tax. You can do this by cross-multiplying: \[\frac{1800}{25000} = \frac{1600}{x}\]

  2. LaShai
    • 2 years ago
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    okay

  3. LaShai
    • 2 years ago
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    So 1,800x=4,000,000

  4. LaShai
    • 2 years ago
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    And x = 2,222.22 Thank you!

  5. geoffb
    • 2 years ago
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    Close, but it's not 4 million.

  6. geoffb
    • 2 years ago
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    It's 40 million.

  7. geoffb
    • 2 years ago
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    But your technique is right. Good job.

  8. LaShai
    • 2 years ago
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    Thanks

  9. geoffb
    • 2 years ago
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    No problem. And it makes sense that the car in \(x\) should be about the same cost as the first car, since the taxes paid are about the same, too.

  10. LaShai
    • 2 years ago
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    So its actually $22,222.22

  11. LaShai
    • 2 years ago
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    And the same thing goes for this problem right? The time it takes to complete a project varies inversely (or is inversely proportional to) the number of people working on the project. If a project takes 6 hours to complete with 2 people, how many people are needed to complete the same project in 3 hours?

  12. geoffb
    • 2 years ago
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    Yes, it's the same idea.

  13. LaShai
    • 2 years ago
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    Okay thanks

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