7
QuizMultiple Choice

Introduction to Functions — Quiz

Question 7 • Mathematics 8

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y , when the company sells x items?

Answer
A
y squared is equal to 4 x squared minus 100
B
y is equal to negative x squared plus 50 x minus 300
C
x squared is equal to negative 6 y squared plus 200
D
x is equal to negative y squared plus 60 y minus 400

Explanation

For profit to be a function of the number of items, each value of x must give exactly one value of y. Choice B directly gives one value of y for each x: y = −x² + 50x − 300. The equations involving y² can give two possible profit values for the same x, while choice D gives x in terms of y rather than a unique y for every x.

AI-written and checked against the verified answer.

Previous
Next