7th Grade Math Summer-Road Trip Project This summer, your family has decided to take a road trip. You will start in Houston and travel to five other U.S. cities before returning to Houston. It is your job to decide what cities to visit and calculate how far you will travel. Part 1 Choose 5 cities to travel to on your road trip. Using a ruler, draw out your route on a US map. Then, using the map scale, determine the length of their road trip in miles. Part 2 You will use proportions to see how much you spend using gas mileage and fuel costs for various vehicles to determine which vehicle students would take on their road trip. On Part 3, you will calculate food costs, hotel costs, and rental car costs. Display your project on a poster board for presentations. Materials Needed: Ruler Poster Road Trip Project Packet Road Trip Project This summer, your family has decided to take a road trip. You will start in Houston and travel to five other U.S. cities before returning to Houston. It is your job to decide what cities to visit and calculate how far you will travel. Step 1: Plan your trip. You may only visit cities that are included on the given map. Choose which 5 cities you will be visiting during your summer vacation. Specify both the city and the state. Starting City Houston, TX City #1 City #2 City #3 City #4 City #5 Ending City Houston, TX Step 2: Using a ruler, draw a straight line connecting each city you will be visiting. (Draw a straight line from Houston to City #1. Then, draw a straight line from City #1 to City #2, etc.) Step 3: Using the ruler, measure the length of the line connecting each city in your trip. ROUND EACH DISTANCE TO THE NEAREST QUARTER INCH. Fill out the following table: Starting City Ending City Distance on Map (in inches) Houston, TX Houston, TX Step 4: Use the scale on the map to write a ratio of distance on map to distance in real life. Your ratio should be written as a fraction. Be sure to include units. Step 5: Calculate the distance of each leg of your trip using the ratio you just found. Set up a proportion and cross multiply to find the distance in real life between each of the cities. ROUND TO THE NEAREST MILE. List 2 Cities and Distance in Inches Proportion Show Work Step 6: Find the total distance traveled during your road trip. Distance in Miles Name: Road Trip Project : Part Two Number of Miles Traveled ______________________ Your family has decided to rent a vehicle for your road trip. It is your job to determine which vehicle you should rent. You have 6 choices. 2014 Ford Mustang 2014 Smart Car 2014 Dodge Ram 2014 Honda Odyssey 2014 Chevrolet Tahoe 2014 Jeep Wrangler Cost to Drive 25 Miles $4.26 $2.90 $6.75 $4.67 $5.76 $5.44 Fuel to Drive 25 Miles 1.09 gallons 0.69 gallons 1.67 gallons 1.19 gallons 1.47 gallons 1.39 gallons ___________ __________ Step 9: Calculate the average gas mileage of each vehicle on the previous page. Show your Work! Calculated MPG ____________ ___________ ___________ ___________ Step 10: Write a paragraph describing which vehicle you should rent and why. Describe how you used pre-algebra to help make this decision. Step 7: Calculate how much it would cost to drive each vehicle during your summer road trip. Use the information on the front of this piece of paper to create a proportion. Vehicle Proportion Show Work Total Cost Vehicle Step 8: Calculate how much fuel would be required to drive each vehicle during your summer road trip. Use the information on the front to create a proportion Proportion Show Work Total Fuel Required Road Trip Project: Part Three Step 1: How long will you spend in each city? City 1: City 2: City 3: City 4: City 5: Days Spent Sightseeing __________________________________________________________ Step 2: You can travel 800 miles in 1 day. Calculate the number of days you will spend driving from city to city. Use a proportion! This does not include the time you will spend sightseeing. Days Spent Driving __________________________________________________________ Total Days of Vacation ___________________________________________________________ Step 3: You will need a hotel room for every day of your vacation except the last. Hotel Rating Cost per Night $45 $55 $75 $200 $300 Create a table showing the number of nights you will spend in each type of hotel and the amount spent on each type of hotel. Hotel Rating Money Spent on Hotels Number of Days Cost per Night Total Cost _____________________________________________ Step 4: For each day you spend driving, you will eat 3 meals. You may choose where you eat your meals. Fast Food Restaurant Nice Restaurant Fancy Restaurant $5.50 $10.00 $25.00 Total Days of Vacation ______________ X 3 Meals per Day = __________________ Meals Type of Restaurant Number of Meals Cost per Meal Total Cost Money Spent on Food ____________________________________________________ Step 5: Your rental car will cost $60 per day plus 30 cents per mile. Calculate the cost for renting the vehicle for the entire trip. Money Spent on Rental Car _________________________________________________ TOTAL COST OF TRIP FUEL (Day 2 Handout) RENTAL CAR (Step 5) HOTEL (Step 3) FOOD (Step 4) TOTAL COST OF ROAD TRIP ______________________________________________________________________