PSAT Math Multiple-Choice Question 8: Answer and Explanation

Question: 8

The function , where k is a constant, can also be expressed as for what value of B?

• A. 2.7
• B. 9.3
• C. 27
• D. 30

Correct Answer: A

Explanation:

A

The question asks for the value of a constant and refers to two functions that are equal to each other. Solve for B. Since the question states that the two functions are equivalent, set them equal to one another. Since . To begin to isolate B, multiply both sides by 9 to get 2.7x = Bx. Divide both sides by x to get 2.7 = B. The correct answer is (A).