1 / 11

Math 170 Functions, Data, and Models

Math 170 Functions, Data, and Models. 04 Section 1.4 Formulas for Linear Functions. Any questions on Lab 01?. Basic Concepts. Example 1 (1.4 #39). An empty bottle is tossed from a hot-air balloon. Its upward velocity is measured every second and recorded in the Table.

imani-downs
Download Presentation

Math 170 Functions, Data, and Models

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math 170 Functions, Data, and Models 04 Section 1.4 Formulas for Linear Functions Any questions on Lab 01?

  2. Basic Concepts

  3. Example 1 (1.4 #39) An empty bottle is tossed from a hot-air balloon. Its upward velocity is measured every second and recorded in the Table. • Describe the motion of the bottle in words. • When does the bottle reach its maximum height above the earth? • Find a formula for velocity as a function of time. • Explain the physical significance of the slope of your formula. • Explain the physical significance of the axes intercepts.

  4. Example 2

  5. Example 3 • Find a formula for the function described by the graph.

  6. Example 4 • The stock of company ZYX costs $28 per share and the stock of company ABC costs $20 per share. You have decided to buy a total of $600 worth of stock in the two companies. • Find a linear relationship between the amounts of each stock you buy. • What are the intercepts? Interpret. • Rewrite the equation to express the amount of ABC stock purchased as a function of the amount of ZYX stock purchased. • What is the domain and range of the previously obtained function? • Interpret the slope.

  7. Insert point ___ into Table 1.2, then determine if the three data points in the table describe a • Linear function • Non-linear function • Non-function ConcepTest • Section 1.4 •Question 2

  8. In the equation 3x + 2y = 9, if x increases by 2 then y • Increases by 2 • Decreases by 2 • Increases by 3 • Increases by 6 • Decreases by 3 ConcepTest • Section 1.4 •Question 8

  9. If x + 2y – 5 = 0 then an equation of the same line is • y = -1/2x + 5/2 • 3x + 6y = 15 • y – 0 = -1/2(x – 5) • All of the above • None of the above ConcepTest • Section 1.4 •Question 16

  10. If points (1,3) , (3,a) , and (b,11) all lie on the same line, then the number of possible values for a and b is • None • One • Two • Infinite ConcepTest • Section 1.3 •Question 2

  11. Which function has the greatest slope? • A • B • C • D • None ConcepTest • Section 1.3 •Question 4

More Related