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Mark for Review

For all positive values of y, the expression is equivalent to . What is the value of constant c?

A

B

C

D


Correct Answer: B

Your Answer:

Explanation

B

The question asks for the value of a constant given two equivalent expressions. Start by rewriting the expressions with an equal sign between them to get . Next, start to solve by cross-multiplying. The equation becomes (y + c)(15) = (3)(5y + 30). Distribute on both sides of the equation to get 15y + 15c = 15y + 90. Subtract 15y from both sides of the equation to get 15c = 90. Divide both sides of the equation by 15 to get c = 6. The correct answer is (B).