SOLUTION: a. State sales tax y is directly proportional to retail price x . An item that sells for 178 dollars has a sales tax of 10.22 dollars. Find a mathematical model that gives the amou

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: a. State sales tax y is directly proportional to retail price x . An item that sells for 178 dollars has a sales tax of 10.22 dollars. Find a mathematical model that gives the amou      Log On


   



Question 1170952: a. State sales tax y is directly proportional to retail price x . An item that sells for 178 dollars has a sales tax of 10.22 dollars. Find a mathematical model that gives the amount of sales tax y in terms of the retail price x .
Your answer is y =
b. What is the sales tax on a 310 dollars purchase?
Your answer is

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

State sales tax y+is directly proportional to retail price x+.
y=kx
if an item that sells for 178 dollars has a sales tax of 10.22 dollars and the tax is proportional to the price, the tax ratio is
k=10.22%2F178=0.0574
Find a mathematical model that gives the amount of sales tax y+in terms of the retail price x .
answer is:
y+=0.0574x

b. What is the sales tax on a 310 dollars purchase?
y+=0.0574x
y=0.0574%2A310
y=17.79 dollars