Question

Does someone mind helping me with this? Thank you!

Answer 1

Answer: x = 50,000

Explanation:

What you know so far, the price of the first car is 25,000 with a sales tax of 1,750. We also know that for the second car, the sales tax is 3500. What we are trying to figure out is the price of the car.

The first thing to do is to set up a proportion, which would mean 1750 over 25000 equals 3500 over x, x is the price of the second car that we don't know yet.

1750/25,000= 3500/x

x=price of the second car

Now you cross multiply 1750, times x, which is 3500. If you do the multiplication on the right side you get 87,500,000. The next thing we need to do is isolate x, which is the price of the second car. To isolate it, divide both sides by 1750, On the left side, 1750 over 1750, which equals one, is left. So we have 1x now. When we divide the right side we get 87,500,000/1750, which is $50,000. So x=50,000

Answer 2

$50000

Explanation:

If the tax is directly proportional to the purchase price, then the relationship can be modeled as T=kp, where T is the tax paid, p is the purchase price, and k is a constant.

If T=$1750 and p=$25000, then to find the constant k:

`k=(T)/(p)\\k=($1750)/($25000)\\k=0.07`

k can then be used to calculate the purchase price of a vehicle that produces $3500 in tax:

`p=(T)/(k)\\p=(3500)/(0.07)\\p=50000`

The new purchase price of $50000 is a logical answer because the new tax is twice as much as the tax paid on the $25000 purchase.