Answer :
Let's determine the general trend between temperature and the timing of the cricket's chirps.
First, let's analyze the difference in time between chirps as the temperature increases:
- From Day 1 to Day 2: [tex]\( 2.5 - 2.6 = -0.1 \)[/tex]
- From Day 2 to Day 3: [tex]\( 2.6 - 2.2 = 0.4 \)[/tex]
- From Day 3 to Day 4: [tex]\( 2.2 - 2.3 = -0.1 \)[/tex]
- From Day 4 to Day 5: [tex]\( 2.3 - 2.0 = 0.3 \)[/tex]
- From Day 5 to Day 6: [tex]\( 2.0 - 1.8 = 0.2 \)[/tex]
- From Day 6 to Day 7: [tex]\( 1.8 - 1.9 = -0.1 \)[/tex]
- From Day 7 to Day 8: [tex]\( 1.9 - 1.8 = 0.1 \)[/tex]
- From Day 8 to Day 9: [tex]\( 1.8 - 1.4 = 0.4 \)[/tex]
- From Day 9 to Day 10: [tex]\( 1.4 - 1.2 = 0.2 \)[/tex]
- From Day 10 to Day 11: [tex]\( 1.2 - 1.5 = -0.3 \)[/tex]
- From Day 11 to Day 12: [tex]\( 1.5 - 1.1 = 0.4 \)[/tex]
Next, we sum these differences to understand the overall trend:
[tex]\[ -0.1 + 0.4 - 0.1 + 0.3 + 0.2 - 0.1 + 0.1 + 0.4 + 0.2 - 0.3 + 0.4 = 1.4 \][/tex]
A positive total time difference of [tex]\(1.4\)[/tex] indicates that the average time between chirps generally decreases as the temperature increases.
Therefore, the correct generalization we can make is:
The chirps occur closer together as the temperature increases.
First, let's analyze the difference in time between chirps as the temperature increases:
- From Day 1 to Day 2: [tex]\( 2.5 - 2.6 = -0.1 \)[/tex]
- From Day 2 to Day 3: [tex]\( 2.6 - 2.2 = 0.4 \)[/tex]
- From Day 3 to Day 4: [tex]\( 2.2 - 2.3 = -0.1 \)[/tex]
- From Day 4 to Day 5: [tex]\( 2.3 - 2.0 = 0.3 \)[/tex]
- From Day 5 to Day 6: [tex]\( 2.0 - 1.8 = 0.2 \)[/tex]
- From Day 6 to Day 7: [tex]\( 1.8 - 1.9 = -0.1 \)[/tex]
- From Day 7 to Day 8: [tex]\( 1.9 - 1.8 = 0.1 \)[/tex]
- From Day 8 to Day 9: [tex]\( 1.8 - 1.4 = 0.4 \)[/tex]
- From Day 9 to Day 10: [tex]\( 1.4 - 1.2 = 0.2 \)[/tex]
- From Day 10 to Day 11: [tex]\( 1.2 - 1.5 = -0.3 \)[/tex]
- From Day 11 to Day 12: [tex]\( 1.5 - 1.1 = 0.4 \)[/tex]
Next, we sum these differences to understand the overall trend:
[tex]\[ -0.1 + 0.4 - 0.1 + 0.3 + 0.2 - 0.1 + 0.1 + 0.4 + 0.2 - 0.3 + 0.4 = 1.4 \][/tex]
A positive total time difference of [tex]\(1.4\)[/tex] indicates that the average time between chirps generally decreases as the temperature increases.
Therefore, the correct generalization we can make is:
The chirps occur closer together as the temperature increases.