Filipe 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. Filipe has budgeted $225for his car rental.

Filipe 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.

DestinationMiles 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 Filipe wants is$39.23 per day. Also, there is a mileage fee of$0.45 per mile.

He has researched on the internet about the car and the area. He assumes the rental car gets about32 miles per gallon,and gas costs$2.88 a gallon.

Step 1: use a linear function that uses the number of miles driven as the input and provides the total car rental cost (including gas) for Filipe'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 Filipe 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 Filipe 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 you created 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 Filipe's rental car budget?

Yes

No

Filipe 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 Filipe and his 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

Use your function to verify that the trip you selected fits within Filipe's rental car budget.

Yes, I did the math to verify that this trip fits within Filipe's budget.

No, I did not do the math to verify this trip doesn't fit within Filipe's budget. But budgets are not important anyway.