Constant of Proportionality in Real-Life Situations

This lesson covers the concept of unit rate as the constant of proportionality. Through examples involving deer population, cookie baking, and crepe recipes, students learn to calculate and apply unit rates to solve real-world problems. The lesson emphasizes understanding proportional relationships and using variables to represent quantities.

Why is it important to know if the deer population is consistent across different areas of a national forest?

• To ensure equal distribution of food resources

• To prevent overpopulation in certain areas

• All of the above

• To maintain a balanced ecosystem

What is the constant of proportionality when there are 144 deer in a 16 square mile area?

• 10

• 9

• 12

• 8

How many deer would you expect to find in a 207 square mile area, given a unit rate of 9 deer per square mile?

• 1860

• 1863

• 2079

• 2070

If 36 cookies can be baked on 2 cookie sheets, what is the constant of proportionality?

• 24

• 18

• 36

• 12

How many cookie sheets are needed to bake 288 cookies if each sheet holds 18 cookies?

• 12

• 14

• 16

• 18

If it takes 2 hours to bake 8 sheets of cookies, how long will it take to bake 16 sheets?

• 3 hours

• 4 hours

• 5 hours

• 6 hours

What does the constant of proportionality represent in the context of baking cookies?

• The number of cookies per sheet

• The number of sheets per cookie

• The number of cookies per hour

• The number of sheets per hour

What is the constant of proportionality for the number of eggs needed to make crepes if 2 eggs make 20 crepes?

• 1/20

• 1/5

• 1/10

• 1/15

How many eggs are needed to make 50 crepes if 1 egg makes 10 crepes?

• 3

• 4

• 5

• 6

In the crepe example, if the constant of proportionality is 1/10, what does this mean?

• 1 egg makes 20 crepes

• 1 egg makes 15 crepes

• 1 egg makes 10 crepes

• 1 egg makes 5 crepes