Which of the following represents the purchase of an item costing x amount before a 6.5% tax is applied? A. x - 0.065x B. x + 0.065x C. 0.935x D. 1.065x E. Both A and C F. Both B and D (Note: The correct answer would be F. Both B and D, as they both represent the initial price plus a 6.5% tax.)
Mathematics · Middle School · Thu Feb 04 2021
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The correct answer is F. Both B and D. To represent the purchase of an item with a 6.5% tax, you must add the tax to the original price of the item.
Option B, x + 0.065x is the original amount x plus 6.5% of x, which represents the tax added to the initial cost.
Option D, 1.065x, effectively combines the original amount x plus the 6.5% tax into one expression. Here, '1' represents the whole (or 100%) of the original amount and '0.065' represents the 6.5% tax. So multiplying the original price x by 1.065 gives you the total amount with tax included.
Both expressions are mathematically equivalent and correctly represent the final cost of the item after tax has been included.