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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

The Contour Graph and Its Associated Three-Dimensional Graph Are