Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 1 Linear Functions.

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Presentation transcript:

Copyright © 2012 Pearson Education, Inc. All rights reserved Chapter 1 Linear Functions

Copyright © 2012 Pearson Education, Inc. All rights reserved 1.1 Slopes and Equations of Lines

1 - 3 © 2012 Pearson Education, Inc.. All rights reserved. Figure 1

1 - 4 Figure 2 © 2012 Pearson Education, Inc.. All rights reserved.

1 - 5 Figure 3 © 2012 Pearson Education, Inc.. All rights reserved.

1 - 6 © 2012 Pearson Education, Inc.. All rights reserved.

1 - 7 Your Turn 1 Find the slope of the line through (1,5) and (4,6). © 2012 Pearson Education, Inc.. All rights reserved.

1 - 8 © 2012 Pearson Education, Inc.. All rights reserved.

1 - 9 Your Turn 2 Find the equation of the line with x-intercept − 4 and y-intercept 6. © 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 3 © 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 4 © 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 5 © 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 6 © 2012 Pearson Education, Inc.. All rights reserved.

Real Life Example © 2012 Pearson Education, Inc.. All rights reserved.

Copyright © 2012 Pearson Education, Inc. All rights reserved 1.2 Linear Functions and Applications

Your Turn 1 © 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 2(a) Suppose that Greg Tobin, manager of a giant supermarket chain, has studied the supply and demand for watermelons. He has noticed that the demand increases as the price decreases. He has determined that the quantity (in thousands) demanded weekly, q, and the price (in dollars) per watermelon, p, are related by the linear function (a) Find the quantity of watermelons demanded at a price of $3.30 per watermelon. © 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 2(b) Greg also noticed that the quantity of watermelons supplied decreased as the price decreased. Price p and supply q are related by the linear function (b) Find the quantity of watermelons supplied at a price of $3.30 per watermelon. © 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 3 Find the equilibrium quantity and price for the watermelons using the demand equation and the supply equation. © 2012 Pearson Education, Inc.. All rights reserved.

Figure 11 © 2012 Pearson Education, Inc.. All rights reserved.

Figure 12 © 2012 Pearson Education, Inc.. All rights reserved.

© 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 4 The marginal cost to make x batches of a prescription medication is $15 per batch, while the cost to produce 80 batches is $1930. Find the cost function C(x), given that it is linear. © 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 5 A firm producing poultry feed finds that the total cost C(x) in dollars of producing x units is given by Management plans to charge $58 per unit for the feed. How many units must be sold to produce a profit of $8030? © 2012 Pearson Education, Inc.. All rights reserved.

Figure 13 © 2012 Pearson Education, Inc.. All rights reserved.

Figure 14 © 2012 Pearson Education, Inc.. All rights reserved.

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