Learn Before
Example: Determining the Independent and Dependent Variables for the Function
In the function , modeling an account that initially has 100 unread emails and accumulates 15 more each day, the total number of unread emails () is determined by the passage of time in days (). Since the number of emails relies on the elapsed days, represents the dependent variable and represents the independent variable.
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
Algebra
Related
Example: Determining the Independent and Dependent Variables for the Function
Example: Determining the Independent and Dependent Variables for the Function
Example: Determining the Independent and Dependent Variables for the Function
Evaluating a Mathematical Function
A manufacturing supervisor uses the function to calculate the total production cost () based on the number of units () produced during a shift. In this mathematical function, which term describes the variable ?
A service technician uses the mathematical function to calculate the total cost () of a repair based on the number of hours () worked. In this function, the variable is known as the __________ variable because its value is determined by the number of hours.
A maintenance technician uses the function to estimate the remaining life () of a mechanical part based on the number of hours () it has been in service. In this function, the variable is the dependent variable.
Analyzing Variable Roles in Production Functions
A shipping coordinator uses the mathematical function to monitor the volume of fuel () remaining in a delivery truck after hours of driving. Match each component of this function with its correct mathematical description.
Identifying the Dependent Variable in Project Budgeting
A datacenter facility coordinator uses the mathematical function to calculate the total electricity expense () of running the server room based on the number of active server stacks () during a shift. Arrange the steps in the correct logical order to show how the value of the dependent variable is determined, starting with the initial input.
Learn After
A corporate employee's inbox starts with 100 unread emails and receives 15 new ones each day. This is modeled by the function , where is the total number of unread emails and is the number of days. Based on this model, which of the following correctly identifies the variables?
An office administrator uses the function to estimate the backlog of unread messages in a shared inbox, where represents the number of business days and represents the total number of unread emails. Match each variable to its correct role in this mathematical model.
In the function , which models the total number of unread emails () in a corporate inbox after days, the variable is considered the independent variable.
Variable Identification for Email Backlog Model
An administrative assistant is monitoring a department's email backlog, starting with 100 unread emails and accumulating 15 more each day. This scenario is modeled by the function , where is the total number of unread emails and is the time elapsed in days. Because the number of days dictates the total email count, the elapsed time represents the ____ variable.
Variables in an Email Backlog Model
An administrative assistant is tracking an office email backlog using the function , where is the elapsed time in days and is the total number of unread emails. To correctly identify the independent and dependent variables, place the analytical steps in the correct logical sequence from first to last.