Question
Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph to answer the questions.
NOTE: Type the numerical value into each blank to receive credit for the question.
(3 points)
What is the change in y-values from Point A to Point B? $$
What is the change in x-values from Point A to Point B? $$
What is the rate of change of the linear function? $$ feet per second
Question 2
A)
Is the graphed function linear?
(1 point)
Responses
Yes, because each input value corresponds to exactly one output value.
Yes, because each input value corresponds to exactly one output value.
No, because the curve indicates that the rate of change is not constant.
No, because the curve indicates that the rate of change is not constant.
Yes, because the outputs increase as the inputs increase
Yes, because the outputs increase as the inputs increase
No, because the graph is not continuous.
No, because the graph is not continuous.
Question 3
A)Which table represents a linear function?(1 point)
Responses
Question 4
A)Which function has a constant rate of change?(1 point)
Responses
Question 5
A)
This table shows data collected by a runner.
Which statement is true about the scenario represented in the table is true? Assume that time is the independent variable.
(1 point)
Responses
The elevation is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
The distance run is a nonlinear function because it does not have a constant rate of change.
The distance run is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Question 6
A)
The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?
(1 point)
Responses
The difference in their rates of change is 1 foot per second.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
Xavier is traveling at 1.5 feet per second.
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
Moises is going faster than Xavier.
NOTE: Type the numerical value into each blank to receive credit for the question.
(3 points)
What is the change in y-values from Point A to Point B? $$
What is the change in x-values from Point A to Point B? $$
What is the rate of change of the linear function? $$ feet per second
Question 2
A)
Is the graphed function linear?
(1 point)
Responses
Yes, because each input value corresponds to exactly one output value.
Yes, because each input value corresponds to exactly one output value.
No, because the curve indicates that the rate of change is not constant.
No, because the curve indicates that the rate of change is not constant.
Yes, because the outputs increase as the inputs increase
Yes, because the outputs increase as the inputs increase
No, because the graph is not continuous.
No, because the graph is not continuous.
Question 3
A)Which table represents a linear function?(1 point)
Responses
Question 4
A)Which function has a constant rate of change?(1 point)
Responses
Question 5
A)
This table shows data collected by a runner.
Which statement is true about the scenario represented in the table is true? Assume that time is the independent variable.
(1 point)
Responses
The elevation is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
The distance run is a nonlinear function because it does not have a constant rate of change.
The distance run is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Question 6
A)
The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?
(1 point)
Responses
The difference in their rates of change is 1 foot per second.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.
Xavier is traveling at 1.5 feet per second.
Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
Moises is going faster than Xavier.
Answers
GPT-4o mini
To address your questions, let's break them down one by one based on your queries.
### Question 1:
1. **Change in y-values from Point A to Point B**:
- Since you didn't provide specific coordinates for Points A and B, let’s assume the change in y-values is given. Please replace with the correct numerical change once you have the values.
\(\Delta y = \text{(y-coordinate of Point B)} - \text{(y-coordinate of Point A)}\)
2. **Change in x-values from Point A to Point B**:
- Similarly, take the change in x-values according to the coordinates of Points A and B.
\(\Delta x = \text{(x-coordinate of Point B)} - \text{(x-coordinate of Point A)}\)
3. **Rate of change of the linear function** (this is typically \(\frac{\Delta y}{\Delta x}\)):
- If you have the above changes, compute the rate:
Rate of change = \(\frac{\Delta y}{\Delta x}\) feet per second.
### Question 2:
A) **Is the graphed function linear?**
- If the graph is a straight line, the correct response is:
- **Yes, because each input value corresponds to exactly one output value.**
### Question 3:
A) **Which table represents a linear function?**
- To determine this, you need to look for a table where the differences between the y-values are constant for equal increments in x-values.
### Question 4:
A) **Which function has a constant rate of change?**
- Look for a function that depicts a straight line (linear function) or has a constant slope.
### Question 5:
A) **Which statement is true regarding the scenario represented in the table?**
- Analyze the data based on rates of change. The truth will depend on whether the distance and/or elevation data shows constant or varying rates of change:
- For the statements provided, only one will be correct based on the analysis.
### Question 6:
A) **The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?**
- Look at the graph for the slopes of their distance versus time — that will help you determine who is traveling faster, the difference in their speeds, etc. Choose the statement that corresponds to the analysis of the graph you see.
**Note:** To provide specific numerical answers for questions 1a, 1b, and 1c, we would need the actual data points or a graph to analyze. If you can supply that information, I'd be happy to help you work through those calculations!
### Question 1:
1. **Change in y-values from Point A to Point B**:
- Since you didn't provide specific coordinates for Points A and B, let’s assume the change in y-values is given. Please replace with the correct numerical change once you have the values.
\(\Delta y = \text{(y-coordinate of Point B)} - \text{(y-coordinate of Point A)}\)
2. **Change in x-values from Point A to Point B**:
- Similarly, take the change in x-values according to the coordinates of Points A and B.
\(\Delta x = \text{(x-coordinate of Point B)} - \text{(x-coordinate of Point A)}\)
3. **Rate of change of the linear function** (this is typically \(\frac{\Delta y}{\Delta x}\)):
- If you have the above changes, compute the rate:
Rate of change = \(\frac{\Delta y}{\Delta x}\) feet per second.
### Question 2:
A) **Is the graphed function linear?**
- If the graph is a straight line, the correct response is:
- **Yes, because each input value corresponds to exactly one output value.**
### Question 3:
A) **Which table represents a linear function?**
- To determine this, you need to look for a table where the differences between the y-values are constant for equal increments in x-values.
### Question 4:
A) **Which function has a constant rate of change?**
- Look for a function that depicts a straight line (linear function) or has a constant slope.
### Question 5:
A) **Which statement is true regarding the scenario represented in the table?**
- Analyze the data based on rates of change. The truth will depend on whether the distance and/or elevation data shows constant or varying rates of change:
- For the statements provided, only one will be correct based on the analysis.
### Question 6:
A) **The distance, in feet, two boys travel per second on a treadmill is shown on the graph. Which comparison is accurate?**
- Look at the graph for the slopes of their distance versus time — that will help you determine who is traveling faster, the difference in their speeds, etc. Choose the statement that corresponds to the analysis of the graph you see.
**Note:** To provide specific numerical answers for questions 1a, 1b, and 1c, we would need the actual data points or a graph to analyze. If you can supply that information, I'd be happy to help you work through those calculations!