anonymous
  • anonymous
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?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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: \[\frac{1800}{25000} = \frac{1600}{x}\]
anonymous
  • anonymous
okay
anonymous
  • anonymous
So 1,800x=4,000,000

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anonymous
  • anonymous
And x = 2,222.22 Thank you!
anonymous
  • anonymous
Close, but it's not 4 million.
anonymous
  • anonymous
It's 40 million.
anonymous
  • anonymous
But your technique is right. Good job.
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
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.
anonymous
  • anonymous
So its actually $22,222.22
anonymous
  • anonymous
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?
anonymous
  • anonymous
Yes, it's the same idea.
anonymous
  • anonymous
Okay thanks

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