The expression 0.85(1.11 p) represents the total amount Layla paid for a jacket originally priced p dollars. Which changes to the original price could have resulted in this expression? A discount of 0.15% and then 11% sales tax Sales tax of 111% and then a discount of 15% A discount of 15% and then 11% sales tax Sales tax of 0.11% and then a discount of 0.15%

Question

The expression  0.85(1.11 p) represents the total amount Layla paid for a jacket originally priced  p dollars. Which changes to the original price could have resulted in this expression? A discount of  0.15% and then  11% sales tax Sales tax of  111% and then a discount of  15% A discount of  15% and then  11% sales tax Sales tax of  0.11% and then a discount of  0.15%

Bytelearn · Accepted Answer

Breakdown of Expression: The expression 0.85(1.11p) represents the total amount Layla paid for a jacket originally priced p dollars. To understand which changes to the original price could have resulted in this expression, we need to break down the expression into two parts: the first part (0.85) will represent the effect of a discount on the original price, and the second part (1.11) will represent the effect of sales tax on the discounted price.Calculate Discount Percentage: Let's first consider the 0.85 part of the expression. This number is less than 1, which indicates a reduction in price, or a discount. To find the percentage of the discount, we subtract 0.85 from 1 and then multiply by 100. (1 - 0.85) * 100 = 0.15 * 100 = 15% This means that the jacket was discounted by 15%.Calculate Sales Tax Percentage: Now let's consider the 1.11 part of the expression. This number is greater than 1, which indicates an increase in price, or the addition of sales tax. To find the percentage of the sales tax, we subtract 1 from 1.11 and then multiply by 100. (1.11 - 1) * 100 = 0.11 * 100 = 11% This means that an 11% sales tax was applied to the discounted price.Comparison of Results: Now we can compare the results from our calculations to the options provided in the problem. We have determined that the jacket was first discounted by 15% and then a sales tax of 11% was applied. This matches the third option: ＂A discount of 15% and then 11% sales tax.＂

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