Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?
c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg
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@triciaal @mathstudent55 @welshfella
p(g) gives you the discounted price.
You need to apply function p first.
Then c(p) gives you the final price after the tax is added to the discounted price. You apply function c after function p.
start with the original price and take the 20% off . this is now the "x" to use to figure the taxes
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That means you need:
First, let's write c(p)
Now to find c(p(g)), you replace p(g) by what the function p(g) is equal to.
Now just multiply out 1.12 * 0.8 to simplify c(p(g))
thank you do you mind helping me w. one more
That means if you take each original price and just multiply it by 0.896, you are discounting the price by 20% and adding a 12% tax. With one simple multiplication, you are discounting and adding tax.
For example if a system had an original price of $100, the final price after the discount and tax is 0.896 * $100 = $89.60