<ol>

<li>Write a&nbsp;function rule for the amount of seats in the reserved section.&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="0"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor0" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="1"></span></span></span></li>
<li>What is the revenue of the reserved section?&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="1"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor1" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="4"></span></span></span></li>
<li>Write a function rule for the amount of seats in the general section.&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="2"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor2" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="7"></span></span></span></li>
<li>What is the revenue of the general section?&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="3"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor3" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="10"></span></span></span></li>
<li>What is the total revenue of the building?&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="4"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor4" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="13"></span></span></span></li>
<li>
<p>All the tickets in the reserved section have been sold. Total revenue from ticket sales will depend on the number of general-seating tickets sold.</p>

<p>Write a function rule to represent the revenue from the reserved section and an unknown amount of tickets from the general section.</p>

<p>Use&nbsp;<em>g</em>&nbsp;as the variable for number of general section tickets and use&nbsp;<em>r</em> for the possible revenue.&nbsp;<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response " data-inputid="5"><span class="lrn-spokenmath" aria-live="polite" data-lrn-component="logger"></span><span class="lrn_math_editable lrn_bordered_mathinput mq-editable-field mq-math-mode"><span class="mq-textarea"><textarea tabindex="0" class="lrn_focusable" id="focusable0formulaeditor5" aria-label="Response area" autocomplete="off" autocapitalize="none"></textarea></span><span class="mq-root-block mq-empty" mathquill-block-id="16"></span></span></span></p>
</li>
</ol>

1 answer

<ol>
<li>The function rule for the number of seats in the reserved section is:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="0">r = 100</span></li>
<li>The revenue of the reserved section is calculated by multiplying the number of seats in the reserved section by the ticket price. Let's assume the ticket price is $50. Therefore, the revenue of the reserved section is:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="1">reserved_revenue = 100 * 50 = $5000</span></li>
<li>The function rule for the number of seats in the general section is:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="2">g = 300 - r</span></li>
<li>The revenue of the general section is calculated by multiplying the number of seats in the general section by the ticket price. Let's assume the ticket price is $30. Therefore, the revenue of the general section is:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="3">general_revenue = (300 - r) * 30</span></li>
<li>The total revenue of the building is the sum of the revenue from the reserved section and the revenue from the general section:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="4">total_revenue = reserved_revenue + general_revenue</span></li>
<li>If all tickets in the reserved section have been sold, then the revenue will only depend on the number of general section tickets sold. The revenue from the reserved section is constant at $5000. Therefore, the function rule to represent the revenue from the reserved section and an unknown amount of tickets from the general section is:
<span data-lrn-access-review-dest="" class="lrn_textinput lrn-clozeformula-input lrn_cloze_response" data-inputid="5">r = 100, revenue = 5000 + (g * ticket_price)</span></li>
</ol>