# 2. Functions from Verbal Statements

### Example 1

When operating a factory, there are fixed costs like electricity, labor and storage space. One such factory has fixed costs of `$50,000` per day.

There are also variable costs, for example, if they make more widgets it will cost more in materials, extra labor costs and extra power costs. The factory calculates there is a variable cost of `$10` to manufacture each extra widget.

Write the daily cost *C* as a function of the number of units produced.

### Example 2

A Norman window has the shape of a rectangle with a semicircle on top, as shown.

Considering the space available, the base of each window has to be `30\ "cm"` less than the height of the rectangular part.

What is the perimeter
*p *of the window as a function of
the radius *r* of the
circular part?

## Exercise

A Boeing 747 burns fuel at the rate of `13,000\ "kg/h"` while cruising. If the aircraft weighed `350,000\ "kg"` at take-off, express its weight *w* as a function of the
time *t*, in hours.

### Search IntMath, blog and Forum

### Online Algebra Solver

This algebra solver can solve a wide range of math problems.

Go to: Online algebra solver

### Math Lessons on DVD

Easy to understand math lessons on DVD. See samples before you commit.

More info: Math videos

### The IntMath Newsletter

Sign up for the free **IntMath Newsletter**. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!