New purchase price

Question

the amount of sale tax on a new car varies directly to the purchase price of the car. If a $25,000 car pays $1,750 in sale taxes what the purchase price of a new car with $3,500 in sale tax?

Answer 1

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

 

Your tax doubled so the price must be doubled.

The car is $50,000

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Algebraically using direct variation:

 

t = kp    where t=tax, p = purchase price, 

             and k is constant of variation

 

1750 = 25000k

k = 1750/25000

k = 0.07

 

Your equation is:  t = 0.07p

3500 = 0.07p

p = 3500/0.07

p = $50,000

Answer 2

1750/25,000 = 3500/p

 

Cross multiply.

 

1750p = 87,500,000

p = $50,000