1.3 Lines in the plane and slopeCalculus 9/5/14

Warm-up

1. Write the equation in standard form

and sketch the circle

2. Solve for y in terms of x.

1.3 Lines in the Plan and Slope (p. 24) Slope - intercept form of the equation of a line

Equation of a vertical line?Horizontal line?

Marginal cost what economists call “cost per unit”

The slope of the cost, C, equation

Fixed cost – cost that must be paid for production regardless of the number of units produced

Slope(p.27)

“rise/run”

Zero slope vs. Undefined slope

Writing Equationsp.29 Ex. 5 Find the equation of the line that has a

slope of 3 and passes through point (1,-2) Ex. 6 Cash Flow per Share *

- Linear interpolation and linear extrapolation

Ex. 6 - The cash flow per share for Ruby Tuesday, Inc. was $1.48 in 2001 and $1.71 in 2002. Using this information, write a linear equation that gives the cash flow per share in terms of the year. Then predict the cash flow for 2003. 1) set up problem

2) write equation

Helpful information

Linear interpolation vs. linear extrapolation

Equations of Lines Table p. 30

Parallel and Perpendicular Lines p.31

Depreciation Linear Depreciation – assumes an asset will

lose the same amount of value each year

Salvage value – the value at the end of the assets useful life

Book value – the difference between the original value and the total amount of depreciation accumulate to date

Ex. 8 – Your company has purchased a $12,000 machine that has a useful like of 8 years. The salvage value at the end of 8 yeas is $2,000. Write a linear equation that describes the book value of the machine each year.

Homework assignment – p. 33-35#1-89 by 4’s

use graphing calculator to graph a model when necessary

If the book does not provide a key for the problem (t = 2 represents 2002), then make sure to include your own