3.6 Modeling Functions using Variation - miss-stow-math ... Powerpoint.pdf... · 3.6 Modeling Functions using Variation SWBAT develop mathematical models using direct, inverse, combined,

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