Math 170 Functions, Data, and Models

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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

04 Section 1.4

Formulas for Linear Functions

Any questions on Lab 01?

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
• Find a formula for the function described by the graph.
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.

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

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

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

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

Which function has the greatest slope?

• A
• B
• C
• D
• None

ConcepTest • Section 1.3 •Question 4