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Connally et al-Functions Modeling Change 4/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 3 / 27

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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3/27 (11.1%)

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    Here are some textbook questions from Functions Modeling Change: A Preparation for Calculus 4/e by Eric Connally, Deborah Hughes Hallett, and Andrew Gleason published by John Wiley & Sons, Inc. Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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1. –/6 points CHGFuncMod4 1.2.004. My Notes
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–/6
 
The table below shows data for two populations for five different years. Find the average rate of change of each population over the following intervals. (Give your answers correct to two decimal places.)
Year 1990 1992 1995 2000 2007
P1 34 44 54 64 74
P2 96 91 86 81 76
(a) 1990 to 2000
(P1)
(P2)

(b) 1992 to 2007
(P1)
(P2)

(c) 1990 to 2007
(P1)
(P2)
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2. –/5 points CHGFuncMod4 1.2.016. My Notes
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–/5
 
Let f(x) = 4 – x2.
(a) Compute each of the following expressions.
(i)
f(1) – f(0)
1 − 0
=
(ii)
f(2) – f(1)
2 − 1
=
(iii)
f(2) – f(0)
2 − 0
=
(b) Graph f(x). Illustrate each ratio in part (a) by sketching the line segment with the given slope.
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(c) Over which interval is the average rate of decrease the greatest?
    
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3. –/1 points CHGFuncMod4 1.4.018. My Notes
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1
–/1
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–/1
 
Find a formula for the linear function that passes through the points (-2, 9) and (3, -1).
y =
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4. –/3 points CHGFuncMod4 1.4.041. My Notes
Question Part
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1 2 3
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–/3
 
The demand for gasoline can be modeled as a linear function of price. If the price of gasoline is p = $2.60 per gallon, the quantity demanded in a fixed period is q = 370 gallons. If the price rises to $6.30 per gallon, the quantity demanded falls to 185 gallons in that period.
(a) Find a formula for q in terms of p.
q =



(b) Explain the economic significance of the slope of your formula.
    


(c) Explain the economic significance of the q axis and p axis intercepts. (Select all that apply. The real world does not always follow linear functions.)

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5. 2/3 points  |  Previous Answers CHGFuncMod4 2.1.002. My Notes
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2/3
 
If g(x) = x2 + 8x – 9, find the following.
(a) Find g(0).
Correct: Your answer is correct.

(b) Solve g(x) = 0. (Enter your answers from smallest to largest.)
x = Correct: Your answer is correct.
x = Incorrect: Your answer is incorrect.
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6. –/5 points CHGFuncMod4 5.2.042. My Notes
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–/5
 
The temperature, H, in °F, of a cup of coffee t hours after it is set out to cool is given by the following equation.
H = 70 + 120(1/4)t
(a) What is the coffee's temperature initially (that is, at time t = 0)?
°F

What is the coffee's temperature after 1 hour?
°F

What is the coffee's temperature after 2 hours? (Round your answer to one decimal place.)
°F

(b) How long does it take the coffee to cool down to 90°F? (Round your answer to three decimal places.)
hr

How long does it take the coffee to cool down to 80°F? (Round your answer to three decimal places.)
hr
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7. –/3 points CHGFuncMod4 8.2.003. My Notes
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–/3
 
State the period, amplitude, and midline.
4y = cos(8(t − 6)) + 8
period
amplitude
midline
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8. 1/1 points  |  Previous Answers CHGFuncMod4 10.1.046. My Notes
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1/1
 
Find f(f(1)) for the following.
$ f(x) = \left\{\begin{array}{ll} {\color{red}8} & \quad\text{if } x \leq 0 \\ {\color{red}6} x + {\color{red}1} & \quad\text{if } 0 < x < 2 \\ x^2 - {\color{red}1} & \quad\text{if } x \geq 2 \end{array}\right. $
Correct: Your answer is correct.
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