Question

The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What's the purchase price of a new car with 3,500 in sales tax?

Please show your work because I still don't understand it and don't know how to do it.

Answer 1

50,000

Explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

so your tax doubled so the price must be doubled.

The car is $50,000

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