Given the line of best fit:
y = ¹/₆x + 50
The equation models the number of chirps per minute (x) that crickets make at different temperatures (v) in degrees Fahrenheit.
Let's determine the interpretation of the slope and y-intercept of the equation.
USing the slope-intercept form:
y = mx + b
Where m is the slope and the y-intercept is b.
Thus, we have the following:
Slope = ¹/₆
y-intercept, b = 50
Therefore, we can say the slope predicts the temperature will increase with about ¹/₆ degrees for every increase in 1 chirp per minute.
The y-intercept can be said to be the initial temperature. It shows that when the crickets are not chirping the temperature is 50 degrees.
ANSWER:
D. The slope predicts the temperature will increase with about ¹/₆ degrees for every increase in 1 chirp per minute. The y-intercept shows that when the cricket are not chirping (x = 0) the temperature is 50 degrees.