The table shows the amount of milk that Wisconsin dairy farms produced from 1940 to 1997. Use a linear model to estimate milk production in 1990.
Year
Milk Produced
(in billions of lbs.)
1940: 7lbs
1972: 7lbs
1997: 8lbs
(1 point)
Responses
15.1
15.1
12.5
12.5
7.5
7.5
2.5
To estimate milk production in 1990 using a linear model, we can use the data points provided for 1940, 1972, and 1997.
Let's assign the x-axis as the years and the y-axis as the milk produced.
1940: x1 = 1940, y1 = 7
1972: x2 = 1972, y2 = 7
1997: x3 = 1997, y3 = 8
We can now use the point-slope formula to find the equation of the line:
(y - y1) = m(x - x1)
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (7 - 7) / (1972 - 1940)
m = 0 / 32
m = 0
Since the slope is 0, the equation of the line will be a constant value of y = 7. Therefore, the estimated milk production in 1990 will be 7 billion lbs.
Our final answer is:
Estimated milk production in 1990: 7 billion lbs.