Math 100. Exploring Mathematics. Spring 2008.
Homework 22 (due 5/1)
Proportional Reasoning
Problem 1.
Suppose you are given an unfamiliar book. You have 10 minutes to estimate (not just guess!) how long it will take you to read this book. How can you do this? (Hint: use proportional reasoning!)
Solve each of the following problems in at least two different ways. At least one of your solutions should be very simple (accessible to a first-grader, i.e. should not use fractions or anything a first-grader will not understand).
Problem 2.
Aby can run 5 laps in 12 minutes. Ben can run 6 laps in 14 minutes. How is the faster runner?
Problem 3.
Two camps of Scouts are having pizza parties. The Bunny Camp ordered enough so that every 5 campers will have 2 pizzas. The Fox Camp ordered enough so that every 7 campers will have 3 pizzas. If within each camp the pizzas are split equally, campers of which camp will eat more pizza?