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Yoshiwara - Modeling, Functions, and Graphs 3/e (Homework)

James Finch

Math - Developmental, section A, Fall 2019

Instructor: Dr. Friendly

Current Score : 9 / 52

Due : Sunday, December 29, 2019 23:00 EST

Last Saved : n/a Saving...  ()

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Question
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9/52 (17.3%)

  • Instructions

    Modeling, Functions, and Graphs: Algebra for College Students 3/e by Bruce & Kathy Yoshiwara, is an independently published textbook, available as both an affordable eBook and as an inexpensive print text through Lulu.com.

    The WebAssign question collection for this title has been carefully created and class-tested by Roy Simpson, long-time WebAssign adopter and master teacher at Cosumnes River College. Some questions feature links to helpful video tutorials also created by Roy Simpson, based on his years of teaching experience.

    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. –/5 points YosMFG3rd A.2.023.MU.NT. My Notes
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A horticulturist needs a fertilizer that is 12% potash, but she can find only fertilizers that contain 5% and 20% potash. How much of each should she mix to obtain 16 pounds of fertilizer that is 12% potash?
(a) What are we asked to find in this problem?
(No Response)
(b) Write an equation to find the number of pounds of 5% potash fertilizer needed. How many pounds of 5% potash fertilizer is needed?
(Round the answer to the nearest hundredth.)
(No Response) (No Response)
(c) How many pounds of 20% potash fertilizer is needed?
(Round the answer to the nearest hundredth.)
(No Response) (No Response)
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2. –/1 points YosMFG3rd A.2.032. My Notes
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Solve the formula for b.
R = 8d + h(a + b)
b = (No Response)

Tutorial Video: Solving a Formula for a Stated Variable
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3. –/4 points YosMFG3rd 1.3.011. My Notes
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A line has slope –8/3. For each vertical change, Δy, given below, find the horizontal change needed to get back to the line. Use the equation
m = 
Δy
Δx
.
(Reduce all fractions completely.)
(a) Δy = –8
Δx = (No Response)
(b) Δy = 16
Δx = (No Response)
(c) Δy = –24
Δx = (No Response)
(d) Δy = 3
Δx = (No Response)
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4. –/3 points YosMFG3rd 2.3.036. My Notes
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–/3
 
The Java Shoppe sells a house brand of coffee that is only 2.4% caffeine for $7.32 per pound. The house brand is a mixture of Colombian coffee that sells for $6 per pound and is 2% caffeine, French roast that sells for $8.50 per pound and is 4% caffeine, and Sumatran at $6.80 per pound and 1% caffeine. How much of each variety is in a pound of house blend?

(No Response) pounds of Colombian coffee
(No Response) pounds of French roast
(No Response) pounds of Sumatran coffee
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5. –/6 points YosMFG3rd 4.1.008. My Notes
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–/6
 
Consider the following quadratic equation.
y = - 3 x^2 - 7 x - 2
(a) Find the exact coordinates of the y-intercept.
(Reduce all fractions completely.)
(0,(No Response) )
(b) Find the exact coordinates of the x-intercept(s).
(Reduce all fractions completely. Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks. Enter all answers including repetitions.)
((No Response) ,0) (smallest value)
((No Response) ,0) (largest value)
(c) Find the exact coordinates of the vertex.
(Reduce all fractions completely.)
((No Response) ,(No Response) )
(d) Graph your equation. (Hint: If typing in coordinates, be sure they would exist within the graphing window and only use exact values [no decimal approximations].)
No Solution
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6. –/2 points YosMFG3rd 4.3.006. My Notes
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A breeder of horses wants to fence two rectangular grazing areas along a river with 726 meters of fence.
(a) Write an equation for the total area, A, of the grazing land in terms of the vertical width, w, of the rectangles.
(No Response)
(b) What is the largest area she can enclose?
(Your answer must include units to receive full credit. Remember to use 'units^2' notation instead of 'square units.')
(No Response)
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7. –/1 points YosMFG3rd 5.1.018.SOLN. My Notes
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Determine whether the table defines the second variable as a function of the first variable.
st
93
164
255
819
25-5
16-4
9-3
(No Response)
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8. –/7 points YosMFG3rd 7.1.004. My Notes
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A rancher who started with 800 head of cattle finds that his herd increases by a factor of 1.9 every 3 years.
(a) Complete the following table.
(Round answers to the nearest whole number.)
Years, t0369
Cattle, C(No Response) (No Response) (No Response) (No Response)
(b) Write a function that describes the number of cattle, C, in terms of the number of years, t, that have passed.
C(t) = (No Response)
(c) Graph the function.
(Do this on paper. Your instructor may ask you to turn in this work.)
(d) How many head of cattle will there be after 2 years?
(Round the answer down to the nearest whole number.)
(No Response)
(e) How many head of cattle will there be after 13 years?
(Round the answer down to the nearest whole number.)
(No Response)
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9. –/5 points YosMFG3rd 10.2.014. My Notes
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For the given function, compute the following.
f(x) = 
8
x
(Reduce all fractions completely.)
(a)
f(5) + f(3) =
(No Response)
(Reduce all fractions completely.)
(b)
f(5 + 3) =
(No Response)
(c)
f(p) + f(s) =
(No Response)
(d)
f(p + s) =
(No Response)
(e) Is
f(p) + f(s) = f(p + s)
?
(No Response)
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10. –/18 points YosMFG3rd 10.3.002. My Notes
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Consider the following function.
f(x) = 3x − 2
(a) Make a table of values for the function using any input from the domain [-10,10].
(Reduce all fractions completely.)
x(No Response) (No Response) (No Response) (No Response)
f(x)(No Response) (No Response) (No Response) (No Response)
(b) Make a table of values for the inverse of the function using any input from the domain [-32,28].
(Reduce all fractions completely.)
x(No Response) (No Response) (No Response) (No Response)
f-1(x)(No Response) (No Response) (No Response) (No Response)
(c) Find a formula for the inverse of the function.
f−1(x) =
(No Response)
(d) Graph the function and its inverse on the same set of axes, along with the graph of
y = x
.
No Solution
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