SOLUTION: If y varies directly as x, what is the value of y in these ordered pairs? (3, 12) and (24, y)

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Question 613583: If y varies directly as x, what is the value of y in these ordered pairs? (3, 12) and (24, y)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You are told y varies directly with x. So you can write the equation as y+=+Ax whre A is a constant. You are then given two points. Use the first point to solve for A. Then use the information in the second point to solve for y. As follows
y+=+Ax plug int he coordinates from the first point and solve for A
12+=+A+%2A+3
12%2F3+=+A
4+=+A
plug A into the base equation to get y+=+4x
y+=+4%2A24 now plug in the second value for x and solve for y
y+=+96