Question

A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}

Answer 1

Answer: The domain is:

0 pints ≤ x ≤ 8 pints.

Explanation:

When we have a function:

y = f(x)

The domain is the set of the possible values of x (the possible inputs).

In this case, the value of x represents the amount of tea that she has poured from the pitcher.

Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).

So we have the domain:

0 pints ≤ x ≤ 8 pints