Now You Try

<p>The table shows the data for a bouncing ball.</p><img src="/qimages/753" /><p><strong>i)</strong> Describe the relation.</p><p><strong>ii)</strong> Draw a curve of best fit.</p>

<p>An altimeter is attached to a model rocket before it is launched. The table shows the recorded data from the rocket’s flight.</p><img src="/qimages/751" />
<ul>
<li>Describe the relation.</li>
</ul>

<p>Use finite differences to determine whether each relation is linear, quadratic, or neither.</p><img src="/qimages/599" />

<p>A rectangle has a width of x centimetres, and its length is double its width.</p><p><strong>i)</strong> Draw a curve of best fit.</p><p><strong>ii)</strong> Explain why the graph of this relation is non-linear.</p>

<p>The table shows the data for a bouncing ball.</p><img src="/qimages/753" />
<ul>
<li>Make a scatter plot of the data.</li>
</ul>

<p>Does the scatter plot(s) could be modeled using a curve instead of a line of best fit?
Explain.</p><img src="/qimages/748" />

<p>The table shows the path of a ball, where x is the horizontal distance, in metres, and h is the height, in metres, above the ground.</p><img src="/qimages/598" /><p>(a) Sketch a graph of the quadratic relation.</p><p>(b) Describe the flight path of the ball. Identify the axis of symmetry and the
vertex.</p><p>(c) What is the maximum height that the ball reached?</p><p>(d) Verify that <code class='latex inline'>h = -x^2 + 8x + 1</code> can be used to model the light path of the ball.</p>

<p>A city opened a new landfill site in 2000. The table shows how much garbage was added to the landfill in each year from 2000 to 2007.</p><img src="/qimages/22215" /><p>a) Determine the total mass of garbage in the landfill at the end of each year.</p><p>b) Make a scatter plot of the total mass of garbage versus the year. Draw a curve of best fit.</p><p>c) What problems do you predict if growth continues at its current rate?</p>

<p>A rectangle has a width of x centimetres, and its length is double its width.</p>
<ul>
<li>Make a scatter plot of the data.</li>
</ul>

<p>The table shows the data for a bouncing ball.</p><img src="/qimages/753" />
<ul>
<li>How would the relationship change for a ball that was bouncier?</li>
</ul>

<p>Does the scatter plot(s) could be modelled using a curve instead of a line of best fit?
Explain.</p><img src="/qimages/749" />

<p>An altimeter is attached to a model rocket before it is launched. The table shows the recorded data from the rocket’s flight.</p><img src="/qimages/751" />
<ul>
<li>Draw a curve of best fit.</li>
</ul>

<p>A rectangle has a width of x centimetres, and its length is double its width.</p>
<ul>
<li>Create a table comparing the length and area of a rectangle for widths up to 8 cm.</li>
</ul>

<p>An altimeter is attached to a model rocket before it is launched. The table shows the recorded data from the rocket’s flight.</p><img src="/qimages/751" />
<ul>
<li>Use your model to predict the height of the rocket after 8s.</li>
</ul>

<p>The table shows the average fuel economy of a car at a test track.</p><img src="/qimages/752" /><p>a) Make a scatter plot of the data.</p><p>b) Describe the relation.</p><p>c) Draw a curve of best fit.</p><p>d) Use your model to predict the fuel economy at 200 km/h.</p><p>d) This car does not get very good fuel economy. How would a graph of a car with better fuel economy look? Why?</p>

<p>The scatter plot and curve of best fit show the relationship between the diameter of roan-collection barrels and the volume of water collected.
Is this relation linear or non-linear? Justify your answer. </p><img src="/qimages/750" />

<p>An altimeter is attached to a model rocket before it is launched. The table shows the recorded data from the rocket’s flight.</p><img src="/qimages/751" />
<ul>
<li>Make a scatter plot of the data.</li>
</ul>