Question

At a summer camp, one large tub of mayonnaise is used for each lunch service. The function below represents the amount of mayonnaise, in tablespoons, left in the tub after n students are served lunch. M(n) = 3,200 - 4n. What is the domain of M(n)?

Answer 1

thoughts?

n is the number of students, so n can only be non-negative whole numbers. (no such thing as a negative number of students or a fractional number of students)

also, the function represents the total amount of mayonaise left, so that cannot be negative either. set the function 3200 - 4n ≥ 0 and solve for the maximum possible n value.

from there, your domain is all integers from 0 to (the max n-value) you solved for.