1.

1 Create and Analyze Graphs NAME:__________________________

Corrective Assignment DATE:_______

Identify the independent and dependent variable. Create and label a scatter plot. Answer the question.
1. The volume of a cube is determined by the length of a side of that cube as shown in the table below.

Side Volume Independent Variable

(𝒄𝒎) (𝒄𝒎𝟑 )
0 0 ____ = ________________________
2 8
4 64 Dependent Variable
6 216
7 343 ____ = ________________________
8 512

a) What does the point (3, 27) mean in this situation?

2. Bob wants to fence in his backyard. The cost of the fence is determined by how much fencing he uses.

Fence Used Cost Independent Variable

(𝒇𝒕) (𝒅𝒐𝒍𝒍𝒂𝒓𝒔)
40 150 ____ = ________________________
90 225
130 285 Dependent Variable
150 315
180 360 ____ = ________________________
220 420

a) What does the point (200, 390) mean in this situation?

Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions.
3. The graph shows water temperature in Celsius of a pot of water cooking macaroni and cheese over time.

Independent Variable ______ ______

____ = ________________________ ( ____ ) ( ____ )

Dependent Variable
16
3
____ = ________________________
71
a) Describe the temperature of the water over the first 18 minutes. 84

b) Is the water cooling faster between 2-3 minutes or between 12-16 minutes? Justify.
 Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions.
4. Hot coffee is left out in a Styrofoam cup. The graph shows the temperature of the coffee over time.

______ ______
Temperature (℉)

Independent Variable
( ____ ) ( ____ )
____ = ________________________
20
Dependent Variable 130
____ = ________________________ 130
85
time
(min)
a) What does the point (100, 80) mean in this situation?

b) How hot is the coffee starting out?

c) What do you think the lowest temperature of the coffee will be? Why is that?

ANSWERS TO CORRECTIVE ASSIGNMENT

1. 2.
Independent Independent
Volume (𝑐𝑚3 )

s = length of each side of f = amount of fence

Cost ($)
the cube in cm used in ft

Dependent Dependent
V = volume of the cube in c = cost of the fence in
𝑐𝑚3 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
side (cm)
fence used (ft)
a) When the side of the cube is 3 cm the cube’s volume
a) A 200 foot fence costs $390
is 27 𝑐𝑚3
3. 4.
Independent time temperature Independent time temperature
m = time in minutes (min) (℃) m = time in minutes (min) (℉)
16 ≈ 73 20 ≈ 116
Dependent 3 ≈ 81 Dependent 130 ≈ 75
t = temperature of the 17 71 t = temperature of the ≈8 130
water in ℃ 2 84 coffee in ℉ 80 85

a) Starts off hot at 89℃ and cools down to 80℃ after 4

minutes. Stays constant at 80℃ until 12 minutes, when it a) After 100 minutes the coffee will be 80℉
starts to decrease temperature down to 67℃ at 18 minutes.
b) 2-3, if you draw a line through the end points of the b) 140℉
intervals, the line is steeper OR the rate of change from 2-
3 is 84-81 which is 3 degrees per minute vs rate of change c) Levels off at 70℉. That is the room temperature
from 12-16 is 80-73 which is 7 degrees every 4 minutes or of where the coffee was left. At some point the
1.75 degrees per minute. coffee will cool to room temperature.