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

Section 1.1 Slopes and Equations of Lines

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Figure 2

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Figure 3

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Find the slope of the line through (1,5) and (4,6).

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Figure 4

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7/241 - 7 2012 Pearson Education, Inc.. All rights reserved.

Your Turn 2

Find the equation of the line withx-intercept 4 andy-intercept 6.

Find the slope of the line whose equation is 8 3 5.x y

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Your Turn 4

Find the equation of the line through (2,9) and (5,3).

Put your answer in slope-intercept form.

2 13y x

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Figure 5

Find the slopes of the above lines.

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Your Turn 5

Find the equation of the line that passes through the point (4,5)

and is parallel to the line 3 6 7.x y

13

2

y x

Find the equation of the line that passes through the point (3,2)

and is perpendicular to the line 2 3 4.x y

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Figure 6

Graphing a line.

HW pg 13 1-19, 25-33

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Section 1.2 Linear Functions and Applications

Let ( ) 4 5. Find ( 5).g x x g

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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, arerelated by the linear function

(a) Find the quantity of watermelons demanded at a price of

$3.30 per watermelon. Solution 7600

( ) 9 0.75 . Demand functionp D q q

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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.

Solution 4400

( ) 0.75 . Supply functionp S q q

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Your Turn 3

Find the equilibrium quantity and price for the watermelons

using the demand equation

and the supply equation

Solution: The equilibrium quantity is found when the prices

from both supply and demand are equal.

The equilibrium quantity is 8000 watermelons.The equilibrium price can be found by plugging the value of q= 8

into either the demand or the supply function. $3.20

( ) 10 0.85D q q

( ) 0.4 .S q q

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Figure 11

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Figure 12

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Your Turn 4

The marginal cost to makexbatches 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.

C(x)=15x+730

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1 - 24 2012 Pearson Education Inc All rights reserved

Your Turn 5

A firm producing poultry feed finds that the total cost C(x) indollars 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?

Solution: SinceR(x) =p x and p= 58,R(x) = 58x.

Use the formula for profit P(x) =R(x)C(x).

Solution 360 units

( ) 35 250.C x x

HW pg 23 1-5, 11-14, 19-25, 27, 29

lial ch 1

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