Question

Scott uses the following revenue equation for the number of TVs sold this month: y=75x−28. What are the independent and dependent variables in the context of the problem, and is the function discrete or continuous?

A) Independent variable: x (number of TVs sold), Dependent variable: y (revenue), Continuous function.
B) Independent variable: y (revenue), Dependent variable: x (number of TVs sold), Discrete function.
C) Independent variable: x (number of TVs sold), Dependent variable: y (revenue), Discrete function.
D) Independent variable: y (revenue), Dependent variable: x (number of TVs sold), Continuous function.

Answer 1

The independent variable is x (number of TVs sold), the dependent variable is y (revenue), and the function is discrete as TVs are sold in whole numbers.

Step-by-step explanation:

In the context of the equation y=75x−28, where Scott is using this revenue model based on the number of TVs sold this month, the independent variable is x, which represents the number of TVs sold. The dependent variable is y, which represents the revenue. This is because the number of TVs sold will determine the revenue earned, not the other way around. As for the nature of the function, in this real-world application, the number of TVs sold would be a whole number, since you cannot sell a fraction of a TV. Therefore, the function is discrete.

Taking the information above into account, the correct answer to the question is Option C: Independent variable: x (number of TVs sold), Dependent variable: y (revenue), Discrete function.