## anonymous one year ago 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. A. y − 0.12y B. 0.06(0.88y) C. 1.06(0.88y) D. y − 0.88y + 0.06y

1. anonymous

I think its a. am I correct?

2. anonymous

no

3. rhr12

I think its d

4. anonymous

to decease a number by $$12\%$$ multiply it by $$100\%-12\%=88\%=0.88$$

5. anonymous

to increase a number by $$6\%$$ multiply it by $$100\%+6\%=106\%=1.06$$

6. rhr12

So, is it b?

7. anonymous

so it is not D either to do both, multiply by $$1.06\times .88$$

8. anonymous

item C

9. mathstudent55

@beckyg111 The original cost is y To take off the 12% discount, you can subtract 0.12y from y, so y - 0.12y is the discounted price, but it does not include the tax. Also, y - 0.12y = 0.88y. The the reason why A is not the answer is that it does not include the tax.

10. mathstudent55

When you add or subtract a percent to a number, you can just add or subtract the percent to 100% and then multiply the percent by the original number. To take 12% off the original price, you can do: 100% - 12% = 88% 88% of y = 0.88y 0.88y represents the original price discounted 12%. Now you need to add 6% tax. You can use the same method: 100% + 6% = 106% 106% of (0.88y) = ?