C Challenge
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Athletics The graph below shows the distance a runner has traveled as a function of the amount of time (in minutes) she has been running. Draw a graph that shows the time she has been running as a function of the distance she has traveled.
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Movies When a movie on film is projected, a certain number of frames pass through the projector per minute. You say that the length of the movie in minutes is a function of the number of frames. Someone else says that the number of frames is a function of the length of the movie. Can you both be right? Explain.
Standardized Test Prep
SAT/ACT
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A 3-ft fire hydrant is next to a road sign. The shadow of the fire hydrant is 4.5 ft long. The shadow of the road sign is 12 ft long. The shadows form similar triangles. What is the height in feet of the sign?
- 1.6875
- 8
- 12
- 16.5
-
What is the solution of
5
d
+
6
−
3
d
=
12
?
5 d plus 6 minus 3 d equals 12 question mark
- 2.25
- 3
- 9
- 18
-
What are the solutions of
|
4
x
−
11
|
=
13
?
vertical line 4 x minus 11 vertical line equals 13 question mark
- 6 and
−
6
negative 6
- 24 and 6
-
−
0.5
negative 0.5 and 6
- no solution
Short Response
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The table below shows the relationship between the number of sprays x a bottle of throat spray delivers and the amount of spray y (in milligrams) left in the bottle. Describe the relationship using words, an equation, and a graph.
Throat Spray
Number of Sprays, x
|
0 |
1 |
2 |
3 |
4 |
Spray Left (mg), y
|
62,250 |
62,200 |
62,150 |
62,100 |
62,050 |
Mixed Review
See Lesson 4-1.
- A spring day begins cool and warms up as noon approaches. The temperature levels off just after noon. It drops more and more rapidly as sunset approaches. Draw a sketch of a graph that shows the possible temperature during the course of the day. Label each section.
Get Ready! To prepare for Lesson 4-3, do Exercises 26 and 27.
See Lesson 1-9.
Use a table, an equation, and a graph to represent each relationship.
- The number of mustard packets used is two times the number of hot dogs sold.
- You are three places ahead of your friend while waiting in a long line.