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Use the graph to match the correct answer.

(3 points)

Meaning of the slope --- (BLANK)

Meaning of the y-intercept --- (BLANK)

Trend of the data --- (BLANK)

Trend:
options: As the temperature goes up, the number of chirps goes down, There is no trend since the data points do not fall on the line., As the temperature goes up, the number of chirps goes up

Slope:

Options: For every 20 chirps, there is one degree increase in temperature, For every 20 degrees increase in temperature, there is 100 more chirps, For every 1 degree increase in temperature, there is 1 more cricket chirp

Y-intercept:

Options: There are 0 chirps when the temperature is about 30 degrees, When the temperature is 0 degrees, there are 0 chirps, when the temperature is 0 degrees, there are 30 chirps

1 answer

To fill in the blanks based on the provided options, we need to derive the meanings for each term based on a hypothetical graph that represents chirps of crickets as a function of temperature. Without the actual graph, we can interpret the options logically.

  1. Meaning of the slope: This represents the rate of change in the number of chirps per degree of temperature. In the options given:

    • "For every 1 degree increase in temperature, there is 1 more cricket chirp" seems the most straightforward interpretation of a positive relationship. This suggests that as temperature rises, cricket chirping increases gradually.

    Answer: For every 1 degree increase in temperature, there is 1 more cricket chirp

  2. Meaning of the y-intercept: The y-intercept indicates the number of chirps when the temperature is zero. From the options:

    • "When the temperature is 0 degrees, there are 30 chirps" suggests that at absolute zero temperature, chirping still occurs, which could make sense if the data showed chirping at that point.

    Answer: When the temperature is 0 degrees, there are 30 chirps

  3. Trend of the data: The trend indicates the overall relationship depicted by the graph. Based on the best interpretations of trends in temperature and chirping:

    • "As the temperature goes up, the number of chirps goes up" suggests a positive correlation, commonly observed in cricket behavior.

    Answer: As the temperature goes up, the number of chirps goes up

So, to summarize using the context given:

  • Meaning of the slope: For every 1 degree increase in temperature, there is 1 more cricket chirp
  • Meaning of the y-intercept: When the temperature is 0 degrees, there are 30 chirps
  • Trend of the data: As the temperature goes up, the number of chirps goes up