Question

You're selling Jordans for $200 each. The function that represents how much money you make is y=200x, where x is how many shoes you sell. What would be an appropriate domain?

a. x > 200
b. x ≥ 0
c. x < 200
d. x ≤ 0

Answer 1

The correct domain for the function illustrating sales of Jordans is b. x ≥ 0, signifying that the number of shoes sold can range from zero to any positive number.

Step-by-step explanation:

The appropriate domain for the function representing money made from selling Jordans at $200 each, y=200x, where x is the number of shoes sold, is b. x ≥ 0. This is because you cannot sell negative numbers of shoes, so the domain must start from zero and include all positive real numbers. This domain allows for the possibility of selling zero pairs of shoes (making no money) as well as any positive number of shoes. The given function is y=200x, where x represents the number of shoes sold.

The domain of a function is the set of all possible values of x that the function can take.

In this case, since x represents the number of shoes sold, x can only take non-negative values (x ≥ 0).

Therefore, the appropriate domain for the function y=200x is option b. x ≥ 0.