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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.

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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?

example 1 1 4 39
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.
example 3
Example 3
  • Find a formula for the function described by the graph.
example 4
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.
slide7

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

slide8

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

slide9

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

slide10

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

slide11

Which function has the greatest slope?

  • A
  • B
  • C
  • D
  • None

ConcepTest • Section 1.3 •Question 4