Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
12% is found by multiplying by 0.12, so: (x - 0.12x)·1.06
where x = original price
0.12 represents 12% of x
x - 0.12x represents the cost after 12% has been removed.
1.06 is used to find the final price (the "1" is used to give the original price,
the extra ".06" is used to give the tax, so "1.06" represents the
original price plus the applied tax.
12 % off means you pay 88% of original price 'x'
.88x now add 6% tax: final price = .88x * 1.06 = .9328 x