Assessment 8 PDF

Which scenario does the graph best represent? Group of answer choices Scenario 5 Scenario 6 Scenario 8 Scenario 9  Which scenario does the graph best represent? Group of answer choices Scenario 5 Scenario 6 Scenario 8 Scenario 9 **Scenario 5** The sta...

Which scenario does the graph best represent? Group of answer choices Scenario 5 Scenario 6 Scenario 8 Scenario 9  Which scenario does the graph best represent? Group of answer choices Scenario 5 Scenario 6 Scenario 8 Scenario 9 **Scenario 5** The state is trying to build a rectangular picnic area with one of the longer sides bordering a lake. Fencing is needed for the three sides not bordering the lake. Let [x ]{.math.inline}(in feet)[ ]{.math.inline}be the width (shorter side) of the picnic area and let [*y*]{.math.inline} (in feet) be the area of the picnic area. The final goal of this project is to find the dimensions which will maximize the area if the state has only budgeted only \$6000 to buy the fencing at \$10 per linear foot **Scenario 6** (Adapted by Math Lit Kathleen Almy and Heather Foe) A small college currently is trying to increase the tuition. It realizes from historic data that a \$10 increase in the tuition rate per credit hour will result in 100 fewer credit hours taken by students each semester. The current tuition is \$400 per credit hour. The school has 2000 students and a total 24000 credit hours are taken each semester. Let the revenue per semester in US\$ by [*y*]{.math.inline} and let [*x*]{.math.inline} , be the number of \$10 increments of the tuition rate. **Scenario 8** The following table shows how the average price of a house located in Northeastern United States changed during the period 1987-1995. Let [*x*]{.math.inline} be the number of years after 1987 and y be the average price in tens of thousands of dollars **Years after 1987** **Cost of a house (in thousands of Dollars** ---------------------- ---------------------------------------------- 0 140 1 149 2 159.6 3 159 155.9 5 169 6 162.9 7 169 8 180 **Scenario 9** An owner of a barbecue grill store has found out at a price [*p*(*x*) = 150 − *x*/4]{.math.inline} per grill, [*x*]{.math.inline} grills can be sold for a week. Let [*y*]{.math.inline} in dollars be the weekly revenue that the store will obtain if the weekly demand is [*x*]{.math.inline} dollars.