3.6 Modeling Functions using

Variation SWBAT develop mathematical models using direct,

inverse, combined, and joint variation

Direct Variation

Let’s Try

Let’s Try 2

Direct Variation with Powers

The following is a personal ad:

◦ Single professional male (6ft/194 lbs) seeks single professional female for long term relationship. Must be athletic, smart, like the movies and dogs, and have height and weight similarly proportional to mine.

Find a mathematical equation that describes the height and weight of the male who wrote the ad. How much would a 5 ft 6in woman weigh who has the same proportionality as the male?

Continuation of last slide

Try 3

Inverse Variation

Try 4: turn to page 306 in

book

The number of potential buyers of a

house decreases as the price of the

house increases. If the number of

potential buyers of a house in a

particular city is inversely proportional

to the price of the house, find a

mathematical equation that describes

the demand for houses as it relates to

price. How many potential buyers will

there be for a $2 million house?

Continuation of last slide

Try 5:

In NYC, the number of potential

buyers in the housing market is

inversely proportional to the price

of a house. If there are 12,500

potential buyers for a $2 million

condominium, how many potential

buyers are there for a $5 million

condominium?

Continuation of last slide

Joint Variation

Combined Variation