SOLUTION: A car that sold for $15,200 had a sales tax of $912. At the same rate, how much is the tax on a car that sells for $12,000?

Question 121964This question is from textbook Fundamental of Algebraic Modeling
: A car that sold for $15,200 had a sales tax of $912. At the same rate, how much is the tax on a car that sells for $12,000? This question is from textbook Fundamental of Algebraic Modeling

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The price of a purchase (call it P) times the sales tax rate (call it R) tells you the amount of
the tax that is paid (call it T). In equation form this is:
.
P*R = T
.
To find the rate R, let's look at the first sale. For a price (P) of $15200 the amount of the
tax (T) was $912. Substitute these values into the equation to get:
.
15200*R = 912
.
Solve for R by dividing both sides of the equation by 15200 to get:
.
R = 912/15200 = 0.06
.
This tells you that 0.06 is the rate of the sales tax on a purchase.
.
Next you are told to find the sales tax on a car that is purchased for $12000. So substituting
into the equation for P and R you get:
.
12000 * 0.06 = T
.
Multiply out the left side and you get that the sales tax on this purchase is:
.
720 = T
.
So for the purchase of a car costing $12,000 you should expect to pay $720 in sales tax.
.
Hope this helps you to understand the problem.
.

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