Question

Part A: What does the x-intercept of the graph represent in terms of the water spray? Use specific information about coordinates of x-intercept in your answer.

Part B: how does the average rate of change of the function change across the interval 0 ≤ x ≤ 20

Answer 1

Answer:

$We know that</p><p>{\boxed{\underline{ \blue{\tt{Area \: of \: window}}}}}Areaofwindow {{\underline{ \orange{\tt{ = \: L \: × \: B}}}}}=L×B</p><p>{{{ \blue{\tt{\: \: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \:}}}}} {{\underline{ \orange{\tt{ = \: 3 \: × \: 2}}}}}=3×2</p><p>{{{ \blue{\tt{\: \: \:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \: \: \: \: \: \: \: \: \:}}}}} {{\underline{ \orange{\tt{ = \: 6 m}}}}}=6m</p><p>Then,</p><p>{\boxed{\underline{ \blue{\tt{Area \: of \: wall}}}}}Areaofwall {{\underline{ \orange{\tt{ = \: side \: × \: side}}}}}=side×side</p><p>{{{ \orange{\tt{\: \: \: \:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \:}}}}} {{\underline{ \orange{\tt{ = \: 10 \: × \: 10}}}}}=10×10</p><p>{{{ \orange{\tt{\: \: \: \: \:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \: \: \: \:}}}}} {{\underline{ \orange{\tt{ = \: 100 m}}}}}=100m</p><p>{\boxed{\underline{ \blue{\tt{Cost}}}}}Cost {{\underline{ \orange{\tt{= \:Rs. \: 2.5 \: × \: (100 - 6)}}}}}=Rs.2.5×(100−6)</p><p>{{{ \blue{\tt{\: \: \:\:\:\:\:\:\:\:\:\:\: \:}}}}} {{\underline{ \orange{\tt{= \: Rs. \: 2.5 \: × \: 94}}}}}=Rs.2.5 × 94</p><p>{{{ \blue{\tt{\: \: \:\:\:\:\:\:\:\:\:\:\: \:}}}}} {{\underline{ \orange{\tt{= \: Rs. \: 235}}}}}=Rs.235</p><p>$