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anonymous
 3 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?
anonymous
 3 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You 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 crossmultiplying: \[\frac{1800}{25000} = \frac{1600}{x}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And x = 2,222.22 Thank you!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Close, but it's not 4 million.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0But your technique is right. Good job.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0No 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
 3 years ago
Best ResponseYou've already chosen the best response.0So its actually $22,222.22

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And 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
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, it's the same idea.
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