A facility manager is using mathematical models to track operational costs. Match each equation to the description that correctly identifies its graphical representation and behavior.

A logistics analyst is reviewing two different freight cost models for a regional shipping route.

Model 1 is given by the equation $y = 4x$, where $y$ represents the total cost and $x$ represents the weight of the shipment in tons.

Model 2 is given by the equation $y = 4$.

When these models are plotted on a coordinate plane, which statement correctly describes the graph of Model 2?

A logistics analyst is using two models to predict delivery phases. Model A follows the equation $y = 4x$ and Model B follows the equation $y = 4$. True or False: In Model B ($y = 4$), the value of $y$ remains constant regardless of the value of $x$, resulting in a horizontal line on a graph.

Analysis of Fixed and Variable Maintenance Costs

Visual Comparison of Fixed and Variable Billing Models

An operations coordinator is comparing two service leasing options. Option A is represented by the equation $y = 4x$, where $y$ is the total cost and $x$ is the hours of active use. Option B is represented by the equation $y = 4$, which has a flat rate regardless of hours used. When plotted on a coordinate plane, the graph of the variable-cost equation $y = 4x$ produces a slanted line, whereas the graph of the constant-rate equation $y = 4$ is a straight ____ line.

Comparing Variable and Flat Rental Rate Models