Question

In 2001, there were about 62.5 thousand golden retrievers registered in the United States. In 2002, the number was 56.1 thousand. 28. Write a linear equation to predict the number of golden retrievers G that will be registered in year t.

Answer 1

To predict the number of golden retrievers G that will be registered in year t, use the linear equation G = -6.4t + 12868.9.

Step-by-step explanation:

To predict the number of golden retrievers G that will be registered in year t, we can use a linear equation. We have two data points: (2001, 62.5) and (2002, 56.1). We can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Determine the slope (m) using the formula m = (y2 - y1) / (x2 - x1) = (56.1 - 62.5) / (2002 - 2001) = -6.4

Step 2: Choose one of the data points and substitute the values into the equation to solve for b. Using (2001, 62.5), we can substitute x = 2001 and y = 62.5.

62.5 = -6.4 * 2001 + b
62.5 = -12806.4 + b
b = 12868.9

Step 3: The linear equation to predict the number of golden retrievers G is G = -6.4t + 12868.9.