To model the data in terms of x, we can use a linear function of the form y = mx + b, where y is the value in dollars, x is the time in years, m is the slope, and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line. Let's use the first and last points:
m = (5925.93 - 30000.00) / (4 - 0) = -6103.27
To find the y-intercept, we can use the formula:
b = y - mx
where (x, y) is a point on the line. Let's use the first point:
b = 30000.00 - (-6103.27) * 0 = 30000.00
Therefore, the linear function that models the data in terms of x is:
y = -6103.27x + 30000.00