Question

Leonard records the number of chirps per minute (x) that crickets make at different temperatures (y) in degrees Fahrenheit. He determines that the association is linear and that the line of best fit is v = x + 60. What is the interpretation of the slope and intercept of this equation? Temperature (°F) 60 50 30 5 10 15 20 25 30 35 40 45 Chirps per minute A. The slope predicts a temperature increase of about 60° for every increase of 1 chirp per minute. The intercept shows that when the crickets are not chirping (x = 0), the temperature is 0¹. B. The chirping increases as the temperature goes down. OC. The slope predicts a temperature increase of about for every increase of 1 chirp per minute. The intercept shows that when the crickets are not chirping (x = 0), the temperature is 60°. D. The slope predicts a temperature increase of about 4° for every increase of 60 chips per minute. The y-intercept shows that when the crickets are not chirping (x = 0) the temperature is​

Answer 1

The correct interpretation of the slope and intercept of the equation v = x + 60 is:

A. The slope predicts a temperature increase of about 1° for every increase of 1 chirp per minute. The intercept shows that when the crickets are not chirping (x = 0), the temperature is 60°.

Explanation:
In the equation v = x + 60, the slope coefficient is 1, which means that for every increase of 1 chirp per minute (x), the temperature (v) increases by approximately 1 degree Fahrenheit. This indicates a linear relationship between the number of chirps per minute and the temperature.

The intercept of 60 represents the temperature (v) when the crickets are not chirping (x = 0). Therefore, when there are no chirps per minute, the temperature is 60°F.