Final answer:
The question pertains to the construction of a linear function representing Monarch butterfly migration distance over time, with a slope of 0.09 and a y-intercept of approximately 35.25, leading to the equation y = 0.09x + 35.25.
Step-by-step explanation:
The student is asked to construct and analyze a linear relationship in the context of Monarch butterfly migration. A table of values needs to be provided for x (hours) and y (miles), but the table is not given in the prompt.
From the information provided, we know that the slope (m) of the relationship is approximately 0.09, representing the number of miles a butterfly can travel per hour.
The y-intercept (b) can be calculated using the formula provided. The y-intercept can be found using the formula b = 219.5 – 0.09(1264), which simplifies to b ≈ 35.25. Hence, the equation of the line representing the migration distance over time is y = 0.09x + 35.25.