16
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 16 • Mathematics III

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

Answer
A
x is equal to 2 y w plus y minus 2
B
x is equal to y w plus y minus 1
C
x is equal to 2 y w plus y minus 1
D
x is equal to 4 y w plus 2 y minus 2

Explanation

Multiply both sides of (2x + 2)/y = 4w + 2 by y to get 2x + 2 = 4yw + 2y. Subtract 2 from both sides, then divide by 2: x = 2yw + y − 1. This matches choice C, “x is equal to 2 y w plus y minus 1.”

AI-written and checked against the verified answer.

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