You ride your bike to the park, sit to read for a while, and then ride your bike home. It takes you less time to ride from the park to your house than it took to ride from your house to the park. Draw a sketch of a graph that shows your possible distance traveled over time.
-Label each axis:
-Distance
-Time
-Identify the following:
-When you arrived at the park
-When you left the park
-Upload the picture or send in a text message.
I apologize, but as a text-based AI, I am unable to upload or receive picture or text message. However, I can provide you with a description of the graph you can sketch.
Axis:
- Horizontal Axis: Time
- Vertical Axis: Distance
Graph:
- The graph should start at the origin (0,0) where the time is zero and the distance is zero.
- Draw a line that gradually increases in a positive direction, representing the time and distance it takes for you to ride from your house to the park. This line should start at the origin and slope upwards.
- Locate the point on the graph where you arrived at the park. Label it as "Arrival at Park."
- The line should continue upward for a while, representing the time you spent reading at the park.
- Locate the point on the graph where you left the park. Label it as "Departure from Park."
- Draw a separate line that gradually decreases in a negative direction, representing the time and distance it takes for you to ride from the park back to your house. This line should start at the point of departure from the park and slope downwards.
- The line should intersect with the horizontal axis at a point further to the right than the origin, indicating that it takes less time to ride from the park to your house compared to your house to the park.
Tell whether the function is linear or nonlinear.
x: -3, -1, 1, 3
y: -5, -1, 3, 7
A. Linear
B. Nonlinear
Tell whether the function is linear or nonlinear.
x: 0, 1, 2, 3
y: 1, 2, 5, 10
A. Linear
B. Nonlinear
For the first set of coordinates, let's calculate the differences in y-values:
-5 - (-1) = -5 + 1 = -4
-1 - 3 = -4
3 - (-1) = 3 + 1 = 4
7 - 3 = 4
In this case, the differences in y-values are not constant. Therefore, the function is nonlinear. The answer is B. Nonlinear.
For the second set of coordinates, let's calculate the differences in y-values:
1 - 0 = 1
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
In this case, the differences in y-values are constant (1). Therefore, the function is linear. The answer is A. Linear.
To draw a sketch of the graph showing your possible distance traveled over time, follow these steps:
1. Begin by drawing two perpendicular lines intersecting at a right angle. The horizontal line represents time, and the vertical line represents distance.
2. Label the horizontal axis as "Time" and the vertical axis as "Distance."
3. Mark a point on the horizontal axis to represent the time you arrived at the park. Label it as "Arrival at Park."
4. Mark another point on the horizontal axis to represent the time you left the park. Label it as "Departure from Park."
5. Connect these two points with a straight line, indicating the distance traveled while at the park.
6. Draw a curved or straight line starting from the origin (0,0) to the arrival point at the park. This line represents the distance traveled from your house to the park.
7. From the departure point at the park, draw a line that is shorter in length, indicating the lesser time taken to travel from the park to your house.
8. Label the lines with appropriate markers indicating the journey from your house to the park and from the park back to your house.
9. You can either upload the picture or describe the graph using text description.
Remember, the exact shape of the graph will depend on the specific distances and times involved in your trip.