Ian went shopping for a new pair of sneakers. Sales tax where he lives is 4%. If the price of the pair of sneakers is p dollars and cents, which expression does NOT represent the total price plus tax?1+0.04p1.04p(1+0.04)pp+0.04p
Q. Ian went shopping for a new pair of sneakers. Sales tax where he lives is 4%. If the price of the pair of sneakers is p dollars and cents, which expression does NOT represent the total price plus tax?1+0.04p1.04p(1+0.04)pp+0.04p
Understand Problem: First, let's understand the "Which expression does NOT represent the total price plus tax for a pair of sneakers priced at p dollars and cents with a sales tax of 4%?"
Calculate Total Price: To calculate the total price including tax, we need to add the sales tax to the original price. The sales tax is 4% of the original price, which is represented by 0.04p. Therefore, the correct expression to represent the total price including tax would be the original price p plus the tax 0.04p, which is p+0.04p.
Simplify Expression: Now let's simplify the expression p+0.04p. This is equivalent to 1p+0.04p, which can be combined as (1+0.04)p or 1.04p. Both expressions correctly represent the total price including tax.
Evaluate Given Options: Let's evaluate each of the given options to see which one does NOT represent the total price plus tax:1. 1+0.04p - This expression adds 1 to 0.04 times the price, which does not make sense in the context of calculating the total price including tax.2. 1.04p - This expression correctly represents the total price including tax.3. (1+0.04)p - This expression correctly represents the total price including tax.4. p+0.04p - This expression correctly represents the total price including tax.
Identify Incorrect Expression: From the evaluation, we can see that the first expression, 1+0.04p, does not correctly represent the total price plus tax. It incorrectly adds 1 to 0.04 times the price, p, which is not a valid calculation for sales tax.
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