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- anonymous

Help please!? The sales tax on a new car varies directly to(or is directly proportional) 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? Im totally lost when it comes to variations :(

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- anonymous

- chestercat

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- anonymous

could you show the steps too?

- anonymous

It's a question in proportions. 1800 is to 25000 as 1600 is to x. Are you with me so far?

- anonymous

yes

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- anonymous

but im not supposed to use proportions

- anonymous

its for variations like this is a direct variation

- anonymous

"varies directly" is the same as proportions. You will use an equation like a/b = c/x.

- anonymous

1800 = a. 25000 = b. 1600 = c. Just get x

- anonymous

25000/1800 = x/1600
25000/1800 = 13.89
1800 x 13.89 = 25
1600 x 13.89 = x

- anonymous

the equation they gave to use to use was y=kx ^{n} \]

- anonymous

y=kx squared to n

- anonymous

What is your value for k?

- anonymous

that what i dont know

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