Solve the problem.Since the end of the Cold War, jobs in defense manufacturing and aerospace have disappeared as the U.S. government spends less on defense. Employments at Lockheed for various years are listed in the table below.(Source: Lockheed Missile and Space)Let L represent the employment (in thousands of people) at Lockheed t years since 1900.i) Use your graphing calculator to create a scattergram of the Lockheed data. Then use your calculator to sketch the graph of the equation Which data point(s) are above the line?ii) Use the linear model to estimate when

there were 35 thousand employees at Lockheed.iii) Use the linear model to predict the number of employees at Lockheed in 2010. Has model breakdown occurred?iv) What is the slope of the equation What does the slope tell you in terms of the employment at Lockheed - be as specific and complete as you can be.v) Find the t-intercept. What does your result mean in terms of Lockheed?vi) Find the L-intercept. What does your result mean in terms of Lockheed?

What will be an ideal response?

(91, 25)

ii) 1986
iii) -23,420 employees; Model breakdown has occurred.
iv) -2.48; Employment decreases by 2480 people each year.
v) (100.56, 0); No one will be employed in 2001.
vi) (0, 249.38); Employment was 249,380 people in 1900.

Mathematics