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Question: Write a linear model that represents the total number of legs of x bears and y Vultures, if the total legs of bears and Vultures is 240.


A ) 4x + 2y = 240
B ) 2x + 4y = 240
C ) x + 2y = 240
D ) None of the above

Steps to derive

1 (Number of legs of each bears has x Number of bears) + (Number of legs each Vultures has x Number of Vultures) = total number of legs counted
 [Verbal model.]

2 Number of legs bears have = 4

3 Number of legs Vultures have = 2.

4 Let x be the number of bears and y be the number of Vultures.

5 The linear model for the situation is 4x + 2y = 240.
 [Substitute the values.]



Hence the right answer is Option A

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