(Solved): Dustin is flying to Salt Lake City to visit his grandmother. He will arrive at night and rent a ca ...

Dustin is flying to Salt Lake City to visit his grandmother. He will arrive at night and rent a car to drive \( 26.5 \) miles to his grandmother's house. He will spend three days with his grandmother and then drive \( 26.5 \) miles back to the airport to fly home. Dustin has budgeted \( \$ 225 \) for his car rental. Dustin and his grandmother want to visit a different destination each day from the list below. He needs to decide which destinations they can visit and still keep the total car rental cost inside of his \( \$ 225 \) car rental budget. The car rental fee for the vehicle Dustin wants is \( \$ 39.3 \) per day. Also, there is a mileage fee of \( \$ \mathbf{0 . 4 5} \) per mile. He has researched on the internet about the car and the area. He assumes the rental car gets about \( \underline{\mathbf{3 2}} \) miles per gallon, and gas costs \( \$ \underline{2.88} \) a gallon. 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 Dustin'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". \[ f(x)=\$ \quad x \text { (miles driven })+\$ \] Step 2: Use your function above to determine how many total miles Dustin can drive and still stay within his \( \$ 225 \) budget. (Let \( f(x)=\$ 225 \) and use algebra to solve for miles driven) (Round to the nearest whole mile) Find the total number of miles Dustin would drive (including to and from the airport) if they visited Lavell Edwards Stadium on the first day, Park City Outlet Mall \& Olympic Park on the second day, and Grandeur Peak on the third day? Use the function you created to find the cost of travel to and from the airport, Lavell Edwards Stadium, Park City Outlet Mall \& Olympic Park, and Grandeur Peak. \$ (Round to the nearest whole dollar) Would this trip fit in Dustin's rental car budget? Yes No 4) Make an Informed Decision Dustin wants to select three locations, plus the trip to the airport, so that the total mileage is within the mileage requirement you calculated in Step 2. Select a trip with three destinations for Dustin and his grandmother to visit that will be within the mileage requirement from Step 2. Option 1: Park City, Grandeur Peak, \& Lavell Edwards Stadium Option 2: Park City, Hogle Zoo, \& Lavell Edwards Stadium Option 3: Park City, Grandeur Peak, \& Temple Square Option 4: Park City, Temple Square, \& Hogle Zoo Option 5: Grandeur Peak, Temple Square, \& Hogle Zoo Option 6: Park City, Temple Square, \& Lavell Edwards Stadium Enter the option number into the blank below. Option