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Grade 8 Mathematics Formula Sheet

The graph below represents the total amount of chips in the bag in oz., y, over time, x, in minutes.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1) What is the end behavior of the graph? Response area

2) What would be a reasonable domain (input) for this scenario? Response area

3) What would be reasonable range (outputs) for the scenario? Response area

End Behavior
Reasonable domain
Reasonable outputs

1 answer

To answer the questions based on the graph of the total amount of chips in the bag over time, we can analyze it as follows:

  1. What is the end behavior of the graph?

    • The end behavior of the graph refers to how the graph behaves as x (time in minutes) approaches positive or negative infinity. If the amount of chips in the bag is decreasing over time, the end behavior could be that the y-value (amount of chips) approaches zero as time goes on. If it’s constant or increasing, the end behavior will reflect that.

  2. What would be a reasonable domain (input) for this scenario?

    • The domain represents all possible values of x (time) that make sense in the context of this scenario. Since we're considering time in minutes, a reasonable domain might be non-negative values, for example, \( x \geq 0 \) (zero minutes and beyond as time cannot be negative).

  3. What would be a reasonable range (outputs) for the scenario?

    • The range represents all possible values of y (amount of chips) based on the domain. Depending on the graph, if the total amount of chips starts with a certain number and decreases or stays constant, the range would be from zero (or a small positive number if the chips never fully run out) to the maximum amount of chips present at the beginning.

You can insert these responses into the relevant areas based on the conclusions drawn from analyzing the graph.