1.
Which graph below most likely represents each of the following?
a.
a person’s body temperature as he enters a sauna and then cools off in a pool
b.
the rise and fall of an elevator as it carries passengers from the ground floor to an observation tower
c.
the cost to mail a package based on weight categories
Correct Answer
B. II, III, IV
2.
Which graph correctly displays the set of data?
x
1
2.5
2.5
2.5
3.5
5.5
5.5
6.5
8.5
y
8.9
7.1
7.3
8.1
4.2
7.9
4.7
5.1
3.7
Correct Answer
A.
3.
The scatter plot below shows the population of a village (P) over time (t). Describe the relationship between the population of the village and time.
Correct Answer
A. The population remains roughly the same over time.
Explanation
The scatter plot shows that there is no clear trend or pattern in the data points. The population points are scattered randomly across the graph, indicating that there is no significant increase or decrease in population over time. Therefore, the correct answer is that the population remains roughly the same over time.
4.
The scatter plot below shows the relationship between the time spent learning a piece of music for the guitar and the score at the annual solo competition. Predict the score for 3 weeks of practice.
Correct Answer
A. About 11
Explanation
Based on the scatter plot, there seems to be a negative correlation between the time spent learning the music and the score at the competition. As the time spent learning increases, the score decreases. Therefore, if the person practices for 3 weeks, it is likely that their score would be around 11.
5.
Which situation is represented by the
graph below?
Correct Answer
D. Temperature increases, stays constant, then increases rapidly
Explanation
The graph shows a pattern where the temperature initially increases, then remains constant for a period of time, and finally increases rapidly. This pattern can be observed in situations such as a heating system gradually increasing the temperature, reaching a set point and maintaining it for a while, and then rapidly increasing the temperature again.
6.
What type of trend does the scatter plot below show? Also, what real-world situation might the scatter plot represent?
Correct Answer
D. Negative trend: the water level in a tank in the hot sun over time
Explanation
The scatter plot shows a negative trend between the water level in a tank and time in the hot sun. This means that as time increases, the water level decreases. This scatter plot might represent the evaporation of water from a tank exposed to the hot sun over a period of time.
7.
List the terms that correctly complete the table.
Time (seconds)
0
1
2
3
4
5
6
7
8
9
Distance (feet)
52
54
56
60
62
64
66
Correct Answer
C. 50, 58, 68
Explanation
The given table shows the distance in feet at different time intervals in seconds. Looking at the table, we can see that the distance increases by 2 feet every second from 1 to 5 seconds. However, at 6 seconds, the distance jumps by 4 feet instead of 2 feet. This pattern continues from 6 to 8 seconds. Therefore, the correct answer should be 50, 58, 68, as it follows the pattern of increasing the distance by 2 feet every second, except at 6 seconds where it increases by 4 feet.
8.
List the terms that correctly complete the table.
Time (seconds)
0
1
2
3
4
5
6
7
8
9
Distance (feet)
29
33
37
45
49
53
57
Correct Answer
D. 25, 41, 61
Explanation
The table shows a relationship between time and distance. Looking at the pattern, it can be observed that the distance increases by 4 feet every second until reaching 45 feet at 5 seconds. After that, the distance increases by 4 feet every 2 seconds. Therefore, the correct terms to complete the table are 25, 41, and 61, as they follow this pattern.
9.
List the terms that correctly complete the table.
Time (seconds)
0
1
2
3
4
5
6
7
8
9
Distance (feet)
30
40
50
70
80
90
100
Correct Answer
B. 20, 60, 110
Explanation
The given table shows the relationship between time and distance. From the given data, it can be observed that the distance increases by 10 feet every second, starting from 30 feet at 0 seconds. Therefore, the correct terms to complete the table are 20, 60, and 110, as they represent the distance at 0, 1, and 2 seconds respectively.