MAT 150 Unit 2-3 Part 2: Power Functions and Variation

Objectives  Graph root functions and the reciprocal function  Solve problems involving direct variation as the nth power  Solve problems involving inverse variation

Example In the production of an item, the number of units of one raw material required varies as the cube of the number of units of a second raw material that is required. Suppose 500 units of the first and 5 units of the second raw material are required to produce 100 units of the item. How many units of the first raw material are required if the number of units produced requires 10 units of the second raw material?

Example (cont) Solution

Example The illumination produced by a light varies inversely as the square of the distance from the source of the light. If the illumination 30 feet from a light source is 60 candela, what is the illumination 25 feet from the source? Solution

Example (cont) Solution

Wool Fest Week- Plan of Attack Monday – Lecture 2.3 Part 2 Tuesday – Work Day (2.3 Part 1 Due) Wednesday – In-Class Quiz Thursday – Work Day Friday – Work Day (2.3 Part 2 and Quiz 1 Review Due)