Adairy needs 325 gallons of milk containing 5% butterfat. how many gallons each of milk containing 6% butterfat and milk containing 1% butterfat must be used to obtain the desired 325 gallons?

The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.

Explanation

Suppose, the amount of milk containing 6% butterfat is gallons

As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: gallons

Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....

So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.