Solve the problem by writing a variation model. The number of days that a given number of bushels of corn will last when feeding cattle varies inversely as the number of animals. If x bushels will feed 27 cows for 10 days, how long will the feed last for 10 cows?
A) 29 days
B) 31 days
C) 27 days
D) 28 days
E) 30 days

Question

Quizplus · Accepted Answer

Let the number of days the feed will last for 10 cows be y.
According to the problem, we have the equation:

xy = 27 * 10

Solving for y, we get:

y = 270/x

Now, we need to find the value of y when x = 10 (i.e. feeding 10 cows).

Substituting x = 10 in the equation, we get:

y = 270/10 = 27

Therefore, the feed will last for 27 days when feeding 10 cows. Hence, the answer is C.

Solve the Problem by Writing a Variation Model