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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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geoffbBest ResponseYou've already chosen the best response.1
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 crossmultiplying: \[\frac{1800}{25000} = \frac{1600}{x}\]
 one year ago

LaShaiBest ResponseYou've already chosen the best response.0
And x = 2,222.22 Thank you!
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Close, but it's not 4 million.
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
But your technique is right. Good job.
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
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.
 one year ago

LaShaiBest ResponseYou've already chosen the best response.0
So its actually $22,222.22
 one year ago

LaShaiBest ResponseYou've already chosen the best response.0
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?
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Yes, it's the same idea.
 one year ago
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