Over the summer, you text a bunch. Let’s say you make 50 texts every 2 days. The graph represents the scenario. (4 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. Fill in the missing parts of the table: x - # of days 0 a. 7 b. y - # of texts c. 75 d. 300

The graph for water used is 10,20,30,40,50on the left and on the bottom is time going from 2,4,6,8,10
The points are at (5,1),(10,2),(15,3), (35,7),(50,10)

answer choices:a linear relationship,y=5x,a constant rate of change, 1/2, 1/5, the points are connected,5y=x,5,linear with a y-intercept at(0,0),1/2=x,2y=x,2,1

1 answer

Let's break down the information provided and fill in the missing parts of the table based on the scenario described.

You text 50 times every 2 days. This means that the rate of texting is consistent, which suggests there's a linear relationship between the number of texts and the number of days.

Table Breakdown:

  1. x - # of days:

    • 0: This corresponds to when no days have elapsed (0 texts).
    • a (7 days): To find the number of texts, we can calculate the texts based on the rate.
    • b (30 days): Similar calculation for 30 days.
  2. y - # of texts:

    • c (75 texts): Derived from knowing the writing rate,
    • d (300 texts): Derived from knowing the writing rate.

Calculations:

  • You send texts at a rate of 50 texts every 2 days, which is:

    • Rate of texts = 50/2 = 25 texts per day.
  • For 7 days:

    • y = 25 * 7 = 175 texts (this goes in place of "b").
  • For 30 days:

    • y = 25 * 30 = 750 texts (this goes in place of "d").

Missing Parts:

So, we can fill in:

  • a = 7 (the number of days)
  • b = 30 (the number of days)
  • c = 175 (the number of texts for 7 days)
  • d = 750 (the number of texts for 30 days)

Answer Choices Selected for the Relationships:

  • The relationship is: a linear relationship (because the function is consistent at 25 texts per day).
  • The equation that fits: y = 25x (for the texting scenario).

Based on your points for the graph and water used, the function remains simple without more complexity introduced by different relationships or rates.

Please ensure the options are provided correctly to fill in the specific blanks that were requested if the outlined steps differ from your expected setup.