Camille is flying to Salt Lake City to visit her grandmother. She will arrive at night and rent a car to drive 26.5 miles to her grandmother's house. She will spend three days with her grandmother and then drive 26.5 miles back to the airport to fly home. Camille has budgeted $245for her car rental.

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 $245 car rental budget.

Destination Miles from Grandma's House

Park City Outlet Mall & Olympic Park38.1 miles(76.2 miles roundtrip)

Grandeur Peak23.1 miles(46.2 miles roundtrip)

Temple Square10.9 miles(21.8 miles roundtrip)

Hogle Zoo22.7 miles(45.4 miles roundtrip)

Lavell Edwards Stadium53.3 miles(106.6 miles roundtrip)

The car rental fee for the vehicle Camille wants is$38.82 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 about32 miles per gallon,and gas costs$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 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) =$x (miles driven)+$

Step 2: Use your function above to determine how many total miles Camille can drive and still stay within her $245 budget.

(Let f(x)=$245 and use algebra to solve for miles driven)

(Round to the nearest whole mile)

Find the total number of miles Camille would drive (including to and from the airport) if they visited LavellEdwards 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 to find the cost of travel to and from the airport, LavellEdwards Stadium, Park City Outlet Mall & Olympic Park, and Grandeur Peak.

$(Round to the nearest whole dollar)

Would this trip fit in Camille's rental car budget?

Yes

No

Camille 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 Camille and her grandmother to visit that will be within the mileage requirement from Step 2.

Option 1: Park City, Grandeur Peak, & LavellEdwards Stadium

Option 2: Park City, Hogle Zoo, & LavellEdwards 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, & LavellEdwards Stadium

Enter the option number into the blank below.

Option