Final answer:
To provide an answer for the paint needed for Mr. Farrell's class mural, more information regarding the mural's size would be necessary. Other mathematical concepts provided were addressed, such as expressing the time for a painting job in a linear equation and the marginal product of an additional painter.
Step-by-step explanation:
The question related to Mr. Farrell's art class designing a mural and needing to determine how many gallons of paint to purchase cannot be answered accurately without additional information such as the size of the mural or the paint coverage per gallon.
However, to address the other mathematical elements provided in the question: To express the time required to complete a painting job in a linear equation, you would use the formula t = 4 + (A/1000), where t is the total time in hours, and A is the area in square feet to be painted.
For the marginal product of the third painter, we find it by comparing productivity with two painters versus three. If two painters can paint 200 square feet in an hour and three can paint 275 square feet, then the marginal product of the third painter is 75 square feet (275 - 200).
When converting gallons to quarts, you multiply by 4 since there are 4 quarts in a gallon. Therefore, if you have 8(1/2) gallons, you would convert it to quarts by multiplying it by 4, resulting in 34 quarts.