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Stewart et al-College Algebra: Concepts & Contexts (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 0 / 32

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

Last Saved : n/a Saving...  ()

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    Here are some textbook questions from College Algebra: Concepts and Contexts 1/e by James Stewart, Lothar Redlin, Saleem Watson and Phyllis Panman published by Brooks/Cole. 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.

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1. 0/1 points  |  Previous Answers SColAlgCC1 A.2.057. My Notes
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Graph the set.
(−∞, −4) ∪ (7, ∞)
Use the tools to enter your answer.
Created with Raphaël 2.1.0-10-8-6-4-20246810
Created with Raphaël 2.1.0

NO SOLUTION

Help
Incorrect: Your answer is incorrect.

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2. –/3 points SColAlgCC1 3.1.010. My Notes
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An exponential growth or decay model is given.
g(t) = 10 · (1.8)t
(a) Determine whether the model represents growth or decay.
    

(b) Find the growth or decay factor.


(c) Find the growth or decay rate.

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3. –/1 points SColAlgCC1 3.1.028. My Notes
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A population P is initially 750. Find an exponential growth model in terms of the number of time periods x if in each time period the population P decreases by
1
3
.

P(x) = 

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4. –/3 points SColAlgCC1 3.1.035. My Notes
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The bacteria Streptococcus pneumoniae (S. pneumoniae) is the cause of many human diseases, the most common being pneumonia. A culture of these bacteria initially has 12 bacteria and increases at a rate of 29% per hour.
(a) Find the hourly growth factor a.
a =

Find an exponential model
f(t) = Cat
 for the bacteria count in the sample, where t is measured in hours.
f(t) = 


(b) Use the model you found to predict the number of bacteria in the sample after 4 hours. (Round your answer to the nearest whole number.)
bacteria

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5. –/12 points SColAlgCC1 3.1.037. My Notes
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Mariel teaches science at a community college in Arizona. Her starting salary in 2003 was $39,400, and each year her salary increases by 1%.
(a) Complete the table of Mariel's salary. (Round your answers to the nearest cent.)
Year Years
since 2003 		Salary ($)
2003 0 $39,400
2004 $
2005 $
2006 $
2007 $

(b) Find an exponential growth model S(t) for Mariel's salary t years after 2003.
S(t) = 


What is the growth factor?


(c) Use the model found in part (b) to predict Mariel's salary in 2011, assuming that her salary continues to increase at the same rate. (Round your answer to the nearest cent.)
$

(d) Use a graphing calculator to graph the model you found in part (b) together with a scatter plot of the data in the table.

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6. –/4 points SColAlgCC1 3.2.035. My Notes
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If $5000 is invested at an interest rate of 5% each year, find the amount of the investment at the end of 5 years for the following compounding methods. (Round your answers to the nearest cent.)
(a) Annual
$

(b) Semiannual
$

(c) Monthly
$

(d) Daily
$

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7. –/4 points SColAlgCC1 3.3.008. My Notes
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Identify each type of decay as linear or exponential.
(a) Decreasing by 14% each year
    

(b) Decreasing by 300 units each year
    

(c) Half remains each year
    

(d) Multiplying by
1
2
 each year
    

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8. –/3 points SColAlgCC1 3.4.024. My Notes
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–/3
 
The functions f and g are given.
f(x) = 3−x and g(x) = 
1
3
−x
 
 
(a) Using a graphing calculator, graph both functions in the same screen.


(b) Do the two graphs intersect?
    

If so, find the intersection point. (If an answer does not exist, enter DNE.)
(x, y) = ( )

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9. –/1 points SColAlgCC1 3.4.032. My Notes
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Find the function
f(x) = Cax
 whose graph is given.
f(x) =
(x, y) = 
−2, 144

Maple Generated Plot

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