Question

otto has some whipping cream that is 30% butterfat and some milk that is 2% 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 k represent in this context? choose 1 answer: a the mixture has more than the intended volume and has the intended percent of butterfat. b the mixture has the intended volume and has less than the intended percent of butterfat. c the mixture has less than the intended volume and has more than the intended percent of butterfat. d the mixture has the intended volume and has the intended percent of butterfat.

Explanation:

Point $K$ is the intersection of the two lines: line $b$ ($x+y=500$) represents the total volume of the mixture being the intended 500 mL, and line $a$ ($0.30x+0.02y=0.12(500)$) represents the mixture having the intended 12% butterfat. The intersection of these two lines means both conditions are satisfied.

Answer:

D. The mixture has the intended volume and has the intended percent of butterfat.