Unit 1: Foundations of Algebra
Name: _________________
Date: __________ Period: ___
QUIZ 3
Teacher: ________________
Dwayne is going to make tomato sauce. He is at the store shopping for tomatoes.
The price of one can of tomatoes is $0.90. He wants to know how much he will need
to spend on tomatoes, but he is not sure how many cans he will buy.
The two quantities that vary in relation to each other in this situation are:
n, the number of cans of tomatoes Dwayne buys
c, the total cost of the cans of tomatoes
1. Sketch a diagram that shows the relationship between the quantities in this situation.
Label your diagram with the letters assigned above.
2. Make a table that shows the cost for 1 can, 2 cans, 3 cans, and 10 cans of tomatoes.
Label the first column of your table with the letters assigned above, and be sure that
it is clear in your table which values go together.
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QUIZ 3
3. Use the pairs of values in your table from problem 2 to graph four points that represent
the relationship between the quantities in this situation.
c
10
9
8
7
6
5
4
3
2
1
n
0
1
2
3
4
5
6
7
8
9
10
4. Graph one more point that represents a possible pair of values for the quantities in
this situation.
5. It would not make sense for either of the quantities in this situation to have values that
are negative numbers. Say how this is shown on the graph.
6. It makes sense for one of the quantities in this situation to have some values that are
not whole numbers.
a. Which quantity has some values that are not whole numbers?
b. Which quantity has only whole-number values?
c. Say how your answers for parts a and b are shown on the graph.
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