QUESTION IMAGE
Question
instructions
a. use the information in the table to complete the questions below.
| month | # of deer |
|---|---|
| oct | 32 |
| nov | 26 |
| dec | 20 |
| jan | 15 |
| feb | 12 |
- what is the independent variable?
- what is the dependent variable?
- what is an appropriate title?
- what is the average number of deer per month?
b.
| # of days | # of bacteria |
|---|---|
| 2 | 16 |
| 3 | 40 |
| 4 | 80 |
| 5 | 100 |
| 6 | 200 |
- what is the independent variable?
- what is the dependent variable?
- what is an appropriate title?
c.
| # of hours of study | grade |
|---|---|
| 2 | 60 |
| 4 | 70 |
| 6 | 80 |
| 8 | 90 |
| 10 | 100 |
- what is the independent variable?
- what is the dependent variable?
- what is an appropriate title?
- what was the average grade earned?
Response
A.
- Answer: Month
- Explanation: The month changes on its own and is not affected by the number of deer. It is the variable that is being manipulated or observed to see its effect on another variable.
- Answer: # of deer
- Explanation: The number of deer depends on the month. Its value changes based on the month variable.
- Answer: Number of Deer per Month
- Explanation: This title clearly shows the relationship between the two variables in the table.
- # Explanation:
- ## Step1: Find the sum of deer
- The sum of the number of deer is \(38 + 32+26 + 20+15+12=143\).
- ## Step2: Divide by the number of months
- There are 6 months. The average is \(\frac{143}{6}\approx23.83\).
- # Answer: Approximately \(23.83\)
B.
- Answer: # of Days
- Explanation: The number of days is the variable that is changing independently and is used to observe the change in the number of bacteria.
- Answer: # of Bacteria
- Explanation: The number of bacteria depends on the number of days passed. Its value is determined by the number - of - days variable.
- Answer: Number of Bacteria over Days
- Explanation: This title indicates the relationship between the two variables in the table.
C.
- Answer: # of Hours of Study
- Explanation: The number of hours of study is the variable that can be controlled or changed independently and affects the grade.
- Answer: Grade
- Explanation: The grade is the variable that depends on the number of hours of study. Its value is influenced by the study - hours variable.
- Answer: Grade vs. Hours of Study
- Explanation: This title shows the relationship between the hours of study and the resulting grade.
- # Explanation:
- ## Step1: Find the sum of grades
- The sum of grades is \(20 + 60+70 + 80+90+100 = 420\).
- ## Step2: Divide by the number of data - points
- There are 6 data - points. The average is \(\frac{420}{6}=70\).
- # Answer: \(70\)
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A.
- Answer: Month
- Explanation: The month changes on its own and is not affected by the number of deer. It is the variable that is being manipulated or observed to see its effect on another variable.
- Answer: # of deer
- Explanation: The number of deer depends on the month. Its value changes based on the month variable.
- Answer: Number of Deer per Month
- Explanation: This title clearly shows the relationship between the two variables in the table.
- # Explanation:
- ## Step1: Find the sum of deer
- The sum of the number of deer is \(38 + 32+26 + 20+15+12=143\).
- ## Step2: Divide by the number of months
- There are 6 months. The average is \(\frac{143}{6}\approx23.83\).
- # Answer: Approximately \(23.83\)
B.
- Answer: # of Days
- Explanation: The number of days is the variable that is changing independently and is used to observe the change in the number of bacteria.
- Answer: # of Bacteria
- Explanation: The number of bacteria depends on the number of days passed. Its value is determined by the number - of - days variable.
- Answer: Number of Bacteria over Days
- Explanation: This title indicates the relationship between the two variables in the table.
C.
- Answer: # of Hours of Study
- Explanation: The number of hours of study is the variable that can be controlled or changed independently and affects the grade.
- Answer: Grade
- Explanation: The grade is the variable that depends on the number of hours of study. Its value is influenced by the study - hours variable.
- Answer: Grade vs. Hours of Study
- Explanation: This title shows the relationship between the hours of study and the resulting grade.
- # Explanation:
- ## Step1: Find the sum of grades
- The sum of grades is \(20 + 60+70 + 80+90+100 = 420\).
- ## Step2: Divide by the number of data - points
- There are 6 data - points. The average is \(\frac{420}{6}=70\).
- # Answer: \(70\)