The Contour Graph and Its Associated Three-Dimensional Graph Are

question 42

Multiple Choice

The contour graph and its associated three-dimensional graph are given below. At will decrease more quickly as x decreases or as y decreases? Justify your answer.

• A) decreases at the same rate in both directions because the contours are parabolic.
• B) will decrease more quickly when x decreases because the difference in contours is greater in that direction.
• C) will decrease more quickly when x decreases because the contours have negative slope in that direction.
• D) will decrease more quickly when y decreases because the difference in contours is greater in that direction.
• E) will decrease more quickly when y decreases because the contours have negative slope in that direction.

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