Question

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. heres 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? choose 1 answer:

Explanation:

Point M is the intersection of the two lines in the system. Line \(x + y = 500\) represents the total volume of the mixture, and line \(0.18x + 0.04y = 0.12(500)\) represents the total butterfat in the mixture. The intersection of these lines is the pair of volumes (whipping cream, milk) that satisfies both conditions: making a 500 mL mixture that is 12% butterfat.

Answer:

Point M represents the volume of whipping cream (x) and volume of milk (y) needed to make a 500 mL mixture that is 12% butterfat (specifically, using 300 mL of whipping cream and 200 mL of milk to meet both the total volume and desired butterfat percentage requirements).