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LF.2 Apply Linear Functions
Name:
Teacher:
Date:
Challenge 3: Big Burgers Stack
Linear Functions Learning Targets
4. Model with mathematics.
8. Look for and express regularity in repeated reasoning.
A.CED I can create equations that describe numbers or relationships.
A-REIc I can represent and solve equations and inequalities graphically.
F-IFa I can understand the concept of a function and use function notation.
F-IFb I can interpret functions that arise in applications in terms of the context.
F-IFc I can analyze functions using different representations.
Big Burgers restaurant has cups for their 8, 12 and 18-ounce drinks in a rack (shown in the
picture). Before the customers arrive, the employees completely
fill each stack of coups. The stack of 18-ounce cups is 84
centimeters tall. Use the graph to determine the number of cups in
the stack.
number of cups
removed from the
stack
x
9
height of the
stack (cm)
h(x)
77.7
22
68.6
35
59.5
1. Use the table to find a function that can be used to find the
height of the stack, h(x), from the number of cups in the stack, x.
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Per:
LF.2 Apply Linear Functions
2. Find the number of cups in
the stack before any cups
is removed.
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3. Find the number of cups
removed from a stack that
is 11 cm tall.
4. Find the height of a stack
that has 25 cups removed.
5. Make a graph to show all values of h(x). Add labels to the graph.
6. What is the domain of the function?
7. What is the range of the function?
8. Use the graph to find the
number of cups in the
stack before any cups is
removed. Draw on your
9. Use the graph to find the
number of cups removed
from a stack that is 11 cm
tall. Draw on your graph to
10. Use the graph to find the
height of a stack that has
25 cups removed. Draw on
Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative
Commons Attribution 4.0 International License. 2014-2015
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LF.2 Apply Linear Functions
graph to show how you
checked your answer.
show how you checked
your answer.
11. Compare your answers for
#2 and #8.
12. Compare your answers for
#3 and #9.
your graph to show how
you checked your answer.
13. Compare your answers for
#4 and #10.
Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative
Commons Attribution 4.0 International License. 2014-2015
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LF.2 Apply Linear Functions
Name:
Step Up
Teacher:
Date:
Per:
Challenge 4: Bathroom Cup Dispenser
PRACTICE 4. Model with mathematics.
PRACTICE 8. Look for and express regularity in repeated reasoning.
Linear Functions Target
3a: I can identify the characteristics of linear functions.
3b: I can solve problems and write equations using linear functions.
2b: I can identify the domain and range, of a function and use function notation to find
quantities in the domain or range. (CF3b)
Bathroom Cup Dispenser
Height
outside
(cm)
Number of cups
Use the diagram and the graph to answer the questions
about the bathroom cup dispenser.
14. What is the most number of cups the dispenser can
hold?
15. What does the point (36, -8) tell you?
16. What is the distance between cups?
17. One cup is removed from the dispenser. What is the height of that cup?
18. Write linear function d(x) that represents the height of the stack in the dispenser as a function of
the number of cups in the dispenser.
19. Use units to describe the rate of change of the function d(x)?
20. What is the y-intercept of d(x)?
21. What does the y-intercept of d(x) tell you about this situation?
22. Find d(10) =
23. What does d(10) mean?
24. Find the value of x that makes d(x) = 13.22
25. What does d(x) = 13.22mean?
Algebra 1 by Southwest Washington Common Core Mathematics is licensed under a Creative
Commons Attribution 4.0 International License. 2014-2015
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