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.]