Function Notation to Describe Rules

Function $$P$$ represents the perimeter, in inches, of a square with side length $$x$$ inches. Complete the table. Write an equation to represent function $$P$$ . Sketch a graph of function $$P$$ .

Imagine a situation where a person is using a garden hose to fill a child's pool. Think of two quantities that are related in this situation and that can be seen as a function. Define the function using a statement of the form “ $$\underline{\hspace{0.5in}}$$ is a function of $$\underline{\hspace{0.5in}}$$ . Be sure to consider the units of measurement. Sketch a possible graph of the function. Be sure to label the axes. Then, identify the coordinates of one point on the graph and explain its meaning.

Match each equation with a description of the function it represents.

Is this a function?

Identify the function rule that best represents the following statement:
The base price (P) of a pizza is $4.99 plus an additional $0.95 for each topping (t).

A plumber charges a service fee of $40 plus $25 per hour for labor.
Write a function rule for the total cost of hiring the plumber for a job that takes x hours.
How much would it cost to hire the plumber for a job that takes 4 hours?

Write a function rule for the statement:

The output is double the input.

The output is eight less than the input.

The cost, c, of attending a basketball tournament with your team this summer is $75 for the registration and $125 for everyday, d, that you stay in the hotel. Write a function rule that represents the total cost of attending the tournament.

(a)  

Your parents bought you a $100 gift card from the game store. Each game cost $5. Write an function rule that represents the balance b after purchasing games g.