SAT官方每日一题附答案和解析[数学](2020年6月29日)

(单词翻译:单击)

Mathematics>Standard Multiple Choice

Read the following SAT test question and then click 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 like to leave a \$5 tip. If c represents Karim's pretax bill, in dollars, and he wants to pay the entire meal amount, including tip and tax, using the gift card, which of the following inequalities best models the situation described above?

A.1.143c-5≥35
B.1.143c+5≤35
C.0.143c-5≤35
D.0.143c+5≥35

Choice B is correct. Karim's total meal cost consists of three parts: Karim's pretax bill, the tax, and the tip, all added together. That amount will need to be less 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 (the tax in decimal form). Since Karim has decided to tip \$5, the total meal cost can be represented by 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.