Now You Try

<p>A math contest has 30 multiple-choice questions. A correct answer gains 4 points. while a wrong answer loses 1 point. Rolly answered every question and scored 55 points. How many questions did he answer correctly?</p>

<p>Determine the function that describe the following function rules. Show your work.</p>
<ul>
<li>The input is 3 less than the output.</li>
</ul>

<p>Determine the function that describe the following function rules. Show your work.</p>
<ul>
<li>The output is 5 less than the input multiplied by 2.</li>
</ul>

<p>Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be built. The total length of the two new walls must be <code class='latex inline'>12</code> m. Martin wants the length of the closet to be twice as long as the width, as shown in the diagram. </p><p>Let function <code class='latex inline'>f(l)</code> be the sum of the tenth and the width. Find the equation for <code class='latex inline'>f(l)</code>. Show your work.</p>

<p>Determine the equations that describe the following function rules. Show your work.</p>
<ul>
<li>Subtract 2 from the input and then multiply by 3 to find the output.</li>
</ul>

<p>Determine the function that describe the following function rules. Show your work.</p>
<ul>
<li>The sum of the input and output is 5.</li>
</ul>

<p>The circumference, <code class='latex inline'>C</code>, in kilometres, of the tropical storm in question 5 can be modelled by the function <code class='latex inline'>C(r) =2\pi r</code>.</p><p><strong>a)</strong> Graph <code class='latex inline'>C(r)</code> for <code class='latex inline'>r\in [0, 10]</code></p><p><strong>b)</strong> State the domain and range.</p><p><strong>c)</strong> Describe the similarities and differences between the graph of <code class='latex inline'>C(r)</code> and the graph of <code class='latex inline'>y = x</code>.</p>

<p>Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be built. The total length of the two new walls must be <code class='latex inline'>12 m</code>. Martin wants the length of the closet to be twice as long as the width, as shown in the diagram. </p><p>Find the desired length and width. Show your work.</p>

<p>Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be built. The total length of the two new walls must be 12 m. Martin wants the length of the closet to be twice as long as the width, as shown in the diagram. Show your work.</p><p> Graph <code class='latex inline'>y = f(l)</code>.</p>

<p>Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be built. The total length of the two new walls must be <code class='latex inline'>12</code> m. Martin wants the length of the closet to be twice as long as the width, as shown in the diagram. </p><p>What is <code class='latex inline'>l</code> as a function of <code class='latex inline'>w</code>? Show your work.</p>