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Learning Math Home
Patterns, Functions, and Algebra
 
Session 1 Part A Part B Part C Homework
 
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Session 1, Part C:
Qualitative Graphs

In This Part: Introduction to Qualitative Graphs | The Bus Stop Queue | Going to School
Descriptive Graphs | Filling Bottles

Problem C9

Solution  

a. 

Did you ever notice that when filling some bottles, the water all of a sudden spurts out of the top? Why does this happen?

b. 

Imagine filling each of the six bottles below, pouring water in at a constant rate. For each bottle, choose the correct graph, relating the height of the water to the volume of water that's been poured in.

flasks

c. 

For the remaining three graphs, sketch what the bottles should look like.

Note 11


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
When will the graph of a bottle's height increase most slowly? Most rapidly?   Close Tip

Problems in Part C are taken from The Language of Functions and Graphs, by Malcolm Swan and the Shell Centre Team (Nottingham, U.K.: Shell Centre Publications, 1999).

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