Brett picks tomatoes from his garden and bags them up to give to his neighbors. He starts with 36 bags of tomatoes and gives out 12 bags every hour until there are none left.

Question

Use the Segment tool to plot a graph representing the number of bags of tomatoes Brett has left to give away from the time he starts giving them away until he has no bags left.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.6 to 10.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -3 to 50.4 with ticks spaced every 4 unit(s).
Brett's Tomatoes
Time (h)Bags of tomatoes remaining

Answer 1

To plot the graph representing the number of bags of tomatoes Brett has left to give away, we can follow these steps:

1. Understand the Situation: Brett starts with 36 bags of tomatoes and gives out 12 bags every hour. We need to represent this on a graph where the horizontal axis represents time (in hours) and the vertical axis represents the number of bags remaining.

2. Calculate the Points: Since Brett starts with 36 bags and gives away 12 bags every hour, we can determine how many bags he has left over time:

   • At 0 hours (start): 36 bags
   • At 1 hour: 36 - 12 = 24 bags
   • At 2 hours: 24 - 12 = 12 bags
   • At 3 hours: 12 - 12 = 0 bags
   • After 3 hours: 0 bags (no change)

   So the points to plot are:

   • (0, 36)
   • (1, 24)
   • (2, 12)
   • (3, 0)

3. Label the Axes:

   • Horizontal axis (Time in hours): 0 to 4
   • Vertical axis (Bags of tomatoes remaining): 0 to 36 (we don't go above 36 since it's the maximum)

4. Plotting the Points:

   • (0, 36) will be the first point.
   • The second point (1, 24) will be plotted downwards from the first point.
   • The third point (2, 12) will go further down.
   • The fourth point (3, 0) will be at the bottom (x-axis).

5. Draw the Segments:

   • Connect the points with straight segments:
     • From (0, 36) to (1, 24)
     • From (1, 24) to (2, 12)
     • From (2, 12) to (3, 0)
   • After (3, 0), since he has no bags left, the line remains at 0 until the end of the graph.

The graph will be a straight declining line from (0, 36) down to (3, 0), and then it will stay flat at 0 bags from x = 3 to x = 10.

By visualizing or physically plotting this on a graph with the specified axes, you should have a clear representation of how many bags Brett has left over time.

Answer 2

tell me the answer in bold words

Answer 3

To plot the graph representing the number of bags of tomatoes Brett has left to give away:

1. Plot the points:

   • (0, 36)
   • (1, 24)
   • (2, 12)
   • (3, 0)

2. Connect the points with straight segments:

   • From (0, 36) to (1, 24)
   • From (1, 24) to (2, 12)
   • From (2, 12) to (3, 0)

3. The graph will remain flat at 0 bags from (3, 0) onward.

This creates a declining line until it reaches zero bags, demonstrating how the number of bags decreases over time.