五月备考：今日份的SAT数学练习题（内含详解）

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MathematicsStandard 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

【答案解析】

答案：B

解析：

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.

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