Answer: Yes, the given scenarios model the equation

Step-by-step explanation: The given linear equation is

Let x represents the number of months and y represents the corresponding number of chickens after x months on the firm.
Given that there are initially 5 chickens on the firm, so we have
when x = 0, then y = 5.
Also, since each month thereafter the number of chickens is 2 times the number in the month before, so
when x = 1, y = 5 + 2 = 7,
when x = 2, y = 7 + 2 = 9,
when x = 3, y = 9 + 2 = 11, etc.
So, (x, y) = (0, 5), (1, 7), (2, 9), (3, 11), etc. are points lying on the linear function described by x and y.
The slope of the line passing through the points (0, 5) and (1, 7) will be given by

Therefore, the equation of the line is

Since the above equation is same as equation (i), so the answer is YES.
The given scenario model the equation
