Read the following SAT test question and thenclick on a button to select your answer.
Karim has a $35 gift card to his favorite restaurant. The tax on his meal is 14.3%. Karim would also liketo leave a $5 tip. If c represents Karim's pretax bill, in dollars, and he wants to pay the entiremeal amount, including tip and tax, using the gift card, which of the following inequalities bestmodels the situation described above?
A.1.143c-5 ≥ 35
B.1.143c+5 ≤ 35
C.0.143c-5 ≤ 35
D.0.143c+5 ≥ 35
答案:B
解析:
Choice B is correct. Karim's total meal cost consistsof three parts: Karim's pretax bill, the tax, and thetip, all added together. That amount will need to beless than or equal to Karim's gift card amount.
Since c represents the cost, in dollars, of the pretax bill, it should be multiplied by 0.143 ( thetax in decimal form ) . Since Karim has decided to tip $5, the total meal cost can be representedby the expression space c+0.143c+5.
Next, combine like c terms to get 1.143c. So, the final inequality for Karim's situation is 1.143c+5 ≤ 35.
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