Question

otto has some whipping cream that is 30% butterfat and some milk that is 2% butterfat. he wants to make 500 mL mixture of them that is 12% butterfat heres a graph that shows a system of equations for this senario where x is the volume of whipping cream he uses and y is the volume of milk he uses what does point k represent

Answer 1

Casper has some whipping cream that is 18% butterfat and some milk that is 4% butterfat. He wants to make a 500 ml mixture of them that is 12% butterfat.

Here's a graph that shows a system of equations for this scenario where x is the volume of whipping cream he uses and y is the volume of milk he uses.

What does point M represent in this context?

Answer 2

J represents a scenario where the mixture has more than the intended volume and has the intended percent of body fat.

Explanation:

Equation of Line A is .30x+.02y=.12(500). So it represents the total volume of butterfat (0.12*500) Otto wants in his mixture. Point J is on line A so it represents a scenario where the mixture has the intended 12% butterfat.

The Equation of Line B is x+y=500, so it represents the total volume(500mL) of the mixture Otto wants to make.

Point J located near(1100,100), which is not on line B, so it doesn't represent a scenario where the mixture has the intended amount. It represents a scenario where the mixture has a volume of a little more than 1100 +100=1200mL.