College Algebra Math Problems?
1. )An item that sells for 178.00 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 .
What is the answer for y?
and What is the sales tax on a 350.00 dollars purchase?
2.) Suppose r varies directly with t and that r = 25 when t=25 . What is the value of r when t = 7 ?
r=?
3.) Suppose f varies inversely with g and that f = 45 when g = 6 . What is the value of f when g = 9 ?
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Verified answer
Sales tax rate is 10.22 / 178 = 0.057416
y = 0.057416x, where x is the retail price.
On $350
y = 0.057416 X 350 = $20.10
2)
Since they vary directly, when one increases, the other does too. Same with decreasing. So if t decreases to 7, so does r.
r = 7.
3)
45 X 6 = 270. So f = 270 / g. If g is 9, then f = 270 / 9 = 30. They vary inversely - note that as g goes up, f goes down.
1) y = % sales tax
y% = Tax $ / Retail Price
y = 10.22 /178 = .057 or 5.7%
Tax $ = 5.7% (350) = 1,995 (.057)
Tax $ = $19.95
2) r/t =25/25 =1/1 =1
r= 1(7)
r= 7