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pagination and continues (fixes #10) (fixes #1)
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@rhinopotamus
rhinopotamus committed Jul 16, 2024
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14 changes: 5 additions & 9 deletions source/ws-Exp_growth_decay.ptx
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<worksheet xml:id="ws-Exp_growth_decay" xmlns:xi="http://www.w3.org/2001/XInclude">
<title>Exponential growth and decay - Practice exercises</title>

<page>
<exercise xml:id="fiber-optic-growth-decay">
<page>
<introduction>
<p>
A signal is sent down a fiber optic cable. Its strength decreases by 2% each mile it travels. (Say it was one unit strong to start.)
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</p>
</statement>
</task>
</page>
<page>
<introduction>
<p>
<em>The problem continues ...</em>
</p>
</introduction>
<task workspace="3in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
What is the half-life (or should we say half-distance) of a signal? That means, how far can it travel without dropping below 50%? (That will not actually happen because we would boost the signal.) Again, set up and solve an equation.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise xml:id="cellphone-doubling-growth-decay" workspace="0.75in">
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25 changes: 10 additions & 15 deletions source/ws-Fitting_lines_to_data.ptx
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</exercise>
</page>

<page>
<exercise xml:id="work-gpa-fitting-lines">
<page>
<introduction>
<p>
Is it true that students who work part-time have lower grades? Do the number of hours matter? The table shows the grade point average (GPA) of ten students compared to the number of hours per week each student works at a part time job. The variables we used are <m>T</m>, for the time worked at job (hours/week), and <m>G</m> for the GPA, on the usual scale of 0.0 to 4.0.
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</p>
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task workspace="1in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
Use your equation for line A to figure out what you would expect for the GPA of a student working 30 hours per week.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>


<page>
<exercise xml:id="candy-shop-fitting-lines">
<page>
<introduction>
<p>
Mia and Mandi and opened a candy shop this January. The table shows their monthly sales profit. Except for some seasonal fluctuation, Mia and Mandi generally expect your profits to rise steadily while their business is getting established.
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</p>
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task workspace="3in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
Write an equation for the line through March and July. Notice that you need to find the intercept this time. Add this line (#2) to your graph. This line is too steep.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<xi:include href="ss-SectionNotes.ptx" />
<xi:include href="ss-Fitting_lines_to_data_end.ptx" />
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37 changes: 15 additions & 22 deletions source/ws-Growth_factor.ptx
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</p>
</introduction>

<page>
<exercise xml:id="grandfather-bonds-growth-factor" workspace="0.7in">
<page>
<introduction>
<p>
In 1962, my grandfather had savings bonds that matured to $200. He gave those to my mother to keep for me. These bonds have continued to earn interest at a fixed, guaranteed rate so I have yet to cash them in. The table lists the value at various times since then.
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</p>
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task workspace="3in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
In what year will the bond be worth over $5,000? Set up and solve an equation to decide.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise xml:id="carbon-14-growth-factor" workspace="1in">
<page>
<introduction>
<p>
Have you read news stories about archaeological digs where a specimen (like a bone) is found that dates back thousands of years? How do scientists know how old something is? One method uses the radioactive decay of carbon. After an animal dies the carbon-14 in its body very slowly decays. By comparing how much carbon-14 remains in the bone to how much carbon-14 should have been in the bone when the animal was alive, scientist can estimate how long the animal has been dead. Clever, huh? Actually, it is so clever that Willard Libby won the Nobel Prize in Chemistry for it. The key information to know is that the <term>half-life</term> of carbon-14 (the amount of time it takes for half of the original amount of carbon-14 to decay) is about 5,730 years.<aside>Source: Wikipedia (Radiocarbon Dating)</aside> For this problem, suppose a bone were found that should have contained 300 milligrams of carbon-14 when the animal was alive.
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</p>
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task workspace="0in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
Draw a graph that shows up to 10,000 years.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>


<page>
<exercise xml:id="find-growth-factor">
<page>
<introduction>
<p>
For each story, find the annual growth factor <m>g</m> and annual growth rate <m>r</m> as a percent.
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</sidebyside>
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task>
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
The creeping vine taking over Fiona's lawn will double in area each year.
</p>
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</sidebyside>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise workspace="1.5in">
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63 changes: 24 additions & 39 deletions source/ws-Linear_vs_exponential.ptx
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</ul></p>
</introduction>

<page>
<exercise xml:id="parents-house-linear-exponential">
<page>
<introduction>
<p>
My parents bought the house I grew up in for $35,000 and sold it 40 years later for $342,000. True story. (It was before the housing bubble burst.)
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</p>
</statement>
</task>
</page>
<page>
<introduction>
<p>
<em>The problem continues ...</em>
</p>
<p>
<alert>Next, assume the value of the house increased linearly instead.</alert>
</p>
</introduction>
<task workspace="2.5in">
<statement>

<p>
<em>The problem continues ...</em>
</p>
<p>
<alert>Next, assume the value of the house increased linearly instead.</alert>
</p>
<p>
In this model, by what fixed amount did the house value increase each year? <em>Hint: calculate the slope using the <term>Rate of Change/Slope (of Linear) Formula</term>.</em>
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise xml:id="manufacturing-jobs-linear-exponential">
<page>
<introduction>
<p>
The number of manufacturing jobs in the state has been declining for decades. In 1970, there were 1.2 million such jobs in the state but by 2010 there were only 0.6 million such jobs. Write <m>J</m> for the number of manufacturing jobs (in millions) and <m>T</m> for time in years since 1970.
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</p>
</statement>
</task>
<introduction>
<p>
<alert>Next, assume the number of jobs decreased exponentially instead.</alert>
</p>
</introduction>
<task workspace="1in">
<statement>
<p>
<alert>Next, assume the number of jobs decreased exponentially instead.</alert>
</p>
<p>
Calculate the growth factor.
</p>
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</p>
</statement>
</task>
</page>
<page>
<introduction>
<p>
<em>The problem continues ...</em>
</p>
<p>
<alert>Now, compare the models.</alert>
</p>
</introduction>
<task>
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
<alert>Now, compare the models.</alert>
</p>
<p>
Complete the table of values.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise xml:id="angry-birds-linear-exponential" workspace="2.5in">
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</exercise>
</page>

<page>
<exercise xml:id="bus-fares-linear-exponential">
<page>
<introduction>
<p>
Bus fares are up to $2.25 per ride during rush hour. Two different plans of increasing fares are being debated: 10¢ per year or 2.5% per year.
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<xi:include href="GraphPaper.ptx" />
</statement>
</task>
</page>
<page>
<introduction>
<p>
<em>The problem continues ...</em>
</p>
</introduction>
<task workspace="2in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
As a city council representative, you want to support the plan that your constituents prefer. If most of your constituents ride the bus, which plan should you support? Why?
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<xi:include href="ss-SectionNotes.ptx" />
<xi:include href="ss-Linear_vs_exponential_end.ptx" />
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12 changes: 5 additions & 7 deletions source/ws-Modeling_linear_equations.ptx
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</exercise>
</page>

<page>
<exercise xml:id="ebook-reader-modeling-linear" workspace="0.75in">
<page>
<introduction>
<p>
Since a very popular e-book reader was released, the price has been decreasing at a constant rate. A blogger developed the following equation representing the price <m>E</m> of the e-book reader <m>T</m> months since it was released: <me>E = 359 - 12T</me>
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<xi:include href="GraphPaper.ptx" />
</statement>
</task>
</page>
<page>
<p>
<em>The problem continues ...</em>
</p>
<task workspace="2in">
<statement>
<p>
<em>The problem continues ...</em>
</p>
<p>
After approximately how many months was the price of the e-book reader expected to be down to $200? Set up and solve an equation.
</p>
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</p>
</statement>
</task>
</page>
</exercise>
</page>

<page>
<exercise workspace="1in">
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