Question

The yearly income I, in dollars, for the dairy comes from milk production, which depends on the number C of dairy cows. Each dairy cow produces 3500 gallons of milk per year, and the dairy sells milk for 2.00 per gallon. Find a formula that gives I as a linear function of C

Answer 1

`I=7000C`

Explanation:

Let C represent number of dairy cows.

We have been given that each dairy cow produces 3500 gallons of milk per year. So amount of milk produced by C cows in 1 year would be
`3500C` gallons.

We are also told that the dairy sells milk for 2.00 per gallon. So yearly income I, in dollars for the dairy milk production would be 2.00 times the yearly milk production.

Since yearly milk production from C cows is
`3500C`, so Income would be:

`I=2.00(3500C)`

`I=7000C`

Therefore, the formula
`I=7000C` represents yearly income (I) as a linear function of C.