A small business owner uses a profit function $P(x)$ to track daily earnings based on the number of units sold, $x$. To determine the initial profit or loss before any products are sold (the y-intercept), which value must be substituted for $x$ in the function?

A fleet manager calculates the daily operating cost of a delivery truck using a function $C(x)$, where $x$ represents the number of miles driven. To find the initial fixed cost before the truck is driven any miles (which represents the y-intercept of the function), the manager must evaluate the function by substituting ____ for $x$.

A logistics manager uses a function $G(d)$ to estimate the amount of fuel remaining in a truck after it has traveled $d$ miles. To find the y-intercept of this function, which represents the initial fuel level before any miles are driven, the manager must evaluate $G(0)$.

A logistics coordinator uses a function $f(x)$ to track the monthly maintenance expenses for a warehouse over $x$ months. Match each component of identifying the starting maintenance cost (the y-intercept) with its correct mathematical description.

Calculating Base Fares in Ridesharing

A transportation analyst at a shipping firm uses a daily operating cost function $D(p)$ to model expenses, where $p$ is the number of express packages processed. To determine the daily base vehicle maintenance cost (representing the y-intercept of the function) before any packages are processed, the analyst must find the y-intercept. Arrange the algebraic steps below in the correct chronological order to complete this task.

Finding the Y-Intercept of a Business Cost Function