How can you determine the relationship between two numbers when the product is constant?

1. How can you determine the relationship between two numbers when the product is constant?

2. In this lesson you will learn how to create an equation for a simple rational function by using a graph and a table of values.

3. A simple rational function: quantities are inversely proportional: As one quantity gets larger, the other gets smaller But the product remains constant xy = 12 or y = 12/x

4. Forgetting that the product of the two variables is constant

5. How do we pay for parking when there is a flat rate of $24 per car? pxm = 24 What happens to the cost per person? Cost per person people

6. pxm = 24 Can either p or m ever be 0?

7. In this lesson you have learned how to create an equation for a simple rational function by using a graph and a table of values. .

8. The length of a playground is inversely proportional to its width. The area of the playground is 36 square feet. Determine the possible widths of the playground when the length is less than 5 feet.

9. A concrete mixer can hold 60 cubic feet of concrete to pour onto a playground. The area that the concrete will cover is inversely proportional to the depth of the concrete poured, but the concrete must be at least 2 feet deep to hold the playground equipment. Make at least 3 different sketches for the shape and size of the playground.

10. Find the possible perimeters for a rectangular playground whose area must be 120 square feet. What is the relationship between the perimeter and the area?

11. When gel is poured into a circular petri dish, the depth of the gel is inversely proportional to the square of the radius. Write an equation to show this relationship.

12. A school spends $7500 each year on student dances. The amount spent per dance depends upon how many dances are held. Write the equation of a function that models the relationship between the number of dances held and the cost of each.