Question

You are packing books into boxes. The function y=20x represents the number y of books that will fit into boxes.

a. Is 4 the domain? Explain.
b. Is 60 in the range? Explain.

Answer 1

The domain of the function includes 4, and 60 is in the range of the function.

Step-by-step explanation:

The function y=20x represents the number of books that will fit into boxes. The variable x represents the number of boxes, and y represents the number of books.

a. The domain of the function is the set of possible values for x. Since the function is defined as y=20x, any non-negative real number can be a valid input for x. Therefore, the domain is the set of all non-negative real numbers, including 4.

b. The range of the function is the set of possible values for y. Since y=20x, any non-negative number can be obtained as a result by choosing an appropriate value for x. Therefore, 60 is in the range of the function.

Answer 2

A. 4 is in the domain since the domain is 0≤x. There can't be negative books so that's why x must be greater than or equal to 0.
b. 60 is in the range since the range is 0≤y. There can't be negative books in this situation too.