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 7 1972 7 1997 8(1 point)Responses15.115.112.512.57.57.52.5
To estimate the milk production in 1990 using a linear model, we can use the data points from 1940 and 1997.
First, let's find the slope of the linear model:
slope = (milk produced in 1997 - milk produced in 1940) / (year of 1997 - year of 1940)
slope = (8 - 7) / (1997 - 1940)
slope = 1 / 57
Next, let's use the slope to find the equation of the linear model:
milk produced in a specific year = slope * (year - 1940) + milk produced in 1940
Plugging in the values:
milk produced in 1990 = 1/57 * (1990 - 1940) + 7
milk produced in 1990 = 1/57 * 50 + 7
milk produced in 1990 = 0.877 + 7
milk produced in 1990 ≈ 7.877
Therefore, the estimated milk production in 1990 is approximately 7.877 billion lbs.