When tracking project costs, a project manager is given the weekly cost increase (the slope) and the initial startup cost (the $y$-intercept). To write a linear equation modeling the total cost, which of the following describes the correct mathematical procedure?

A professional photographer uses a linear model to calculate the total cost of a photo shoot. They charge an initial booking fee of 150 and a labor rate of 100 per hour. In the slope-intercept form $y = mx + b$, match each mathematical component with its specific role or value in this business scenario.

A payroll specialist is creating a linear equation to model total employee compensation, which includes a fixed base salary (the $y$-intercept) and a performance bonus per unit sold (the slope). Arrange the steps in the correct order to find the final equation for this model.

In the process of finding a linear equation for a professional service fee that includes a fixed 'setup charge' and an 'hourly rate,' the setup charge (which represents the $y$-intercept) must be substituted for the variable $m$ in the slope-intercept form $y = mx + b$.

Formulating a Professional Service Billing Model