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

A freelance virtual assistant uses a linear equation based on the slope-intercept form, $y = mx + b$, to calculate monthly client invoices. The assistant charges a flat monthly retainer fee of 150 dollars and an hourly rate of 25 dollars. To formulate the linear equation, they substitute these values directly into the formula. In this client billing model, the value substituted for the constant $b$ is ____. (Enter only the numerical value.)

Corporate Budgeting for Software Licenses