Explanation:
To find the equation of the trend line, we need to determine the relationship between the year (x) and the number of participants (y). Let's calculate the slope and y-intercept based on the data provided.
Using the data from years 1 and 5:
x1 = 1, y1 = 88
x2 = 5, y2 = 115
The slope of the line is calculated as (y2 - y1) / (x2 - x1):
slope = (115 - 88) / (5 - 1) = 27 / 4 = 6.75
To find the y-intercept, we can use the equation: y = mx + b, where m is the slope and b is the y-intercept. Rearranging the equation, we have:
b = y - mx
Using the coordinates (x1, y1):
b = 88 - (6.75 * 1) = 88 - 6.75 = 81.25
Therefore, the equation of the trend line that can be generated using the data from years 1 and 5 is:
y = 6.75x + 81.25
So, the correct equation is: y = 6.75x + 81.25.