Camille and her grandmother want to visit a different destination each day from

Question

Camille and her grandmother want to visit a different destination each day from the list below. She needs to decide which destinations they can visit and still keep the total car rental cost inside of her $230 car rental budget. stination Park City Outlet Mall & Olympic Park Grandeur Peak Temple Square Hogle Zoo Lavelle Edwards Stadium Miles from Grandma's House 38.1 miles (76.2 miles roundtrip) 23.1 miles (46.2 miles roundtrip) 10.9 miles (21.8 miles roundtrip) 22.7 miles (45.4 miles roundtrip) 53.3 miles (106.6 miles roundtrip) 2 Identify Variables&Assumptions; The car rental fee for the vehicle Camille wants is $38.9 per day. Also, there is a mileage fee of $0.45 per mile She has researched on the internet about the car and the area. She assumes the rental car gets about 32 miles per gallon, and gas costs $2.88 a gallon 3) Apply Quantitative Tools Step 1: Create a linear function that uses the number of miles driven as the input and provides the total car rental cost (including gas) for Camille's entire trip as the output. To find the slope of the linear function compute the cost per mile by adding the mileage fee and the cost of gas per mile. Hint: to find the cost of gas per mile divide the cost per gallon by the miles per gallon. The "gallons" units cancel leaving the units "dollars per mile". f(x)$Numberx (miles driven)S Number Step 2: Use your function above to determine how many total miles Camille can drive and still stay within her $230 budget. (Let f(x)-$230 and use algebra to solve for miles driven) Number (Round to the nearest whole mile) Find the total number of miles Camille would drive (including to and from the airport) if they visited Lavelle Edwards Stadium on the first day, Park City Outlet Mall& Olympic Park on the second day, and Grandeur Peak on the third day? Number Use the function you created to find the cost of travel to and from the airport, Lavelle Edwards Stadium, Park City Outlet Mall & Olympic Park, and Grandeur Peak. $ Number (Round to the nearest whole dollar)

Explanation / Answer

Round trip Park City Outlet Mall & Olympic Park 38.1 76.2 Grandeur Park 23.1 46.2 Temple Square 10.9 21.8 Hogle Zoo 22.7 45.4 Lavell Edwards Stadium 53.3 106.6 Car Rent for the day 38.9 per Day Mileage Fee 0.45 per mile Consumption 32 miles per galllon Cost of Petrol 2.88 per galloon Cost of petrol per mile = cost per gallon/miles per gallon Cost of petrol per mile = 0.09 Consumption cost per mile = Mileage Fee +Cost of petrol per mile Consumption cost per mile = 0.54 per mile Operating Cost per day= No. of miles x cost per mile Total Cost for per day f(x)= Car Rent for the day +operating Cost Let x be the number of miles per day Then Total Cost per day f(x)= 38.9 +0.54 x Since Camille wants to see one place per day , total days = 5 No.of miles she can travel for $ 230 Total cost for 1 day= 38.9 +0.54 x 353 Total cost for 2 days= 77.8+0.54x 281 Total cost for 3 days= 116.7+0.54x 209 Total cost for 4 days= 155.6+0.54x 137 Total cost for 5 days= 194.5+0.54x 66 Place Miles Rounded off Total Cost Rounded to $ Travel to Edwards Staduim 106.6 107 96.68 97 Travel to Park City & Mall 76.2 77 80.48 81 Travel to Fradeur Park 45.2 46 63.74 64 Total 230 242

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