5 AUTOMOBILE OWNERSHIP 5-1 Classified Ads 5-2 Buy or Sell a Car Banking 12/15/2017 5 AUTOMOBILE OWNERSHIP 5-1 Classified Ads 5-2 Buy or Sell a Car 5-3 Graph Frequency Distributions 5-4 Automobile Insurance 5-5 Linear Automobile Depreciation Chapter 1

5 AUTOMOBILE OWNERSHIP 5-6 Historical and Exponential Depreciation Banking 12/15/2017 5 AUTOMOBILE OWNERSHIP 5-6 Historical and Exponential Depreciation 5-7 Driving Data 5-8 Driving Safety Data 5-9 Accident Investigation Data Chapter 1

OBJECTIVES 5-7 DRIVING DATA Banking 12/15/2017 5-7 DRIVING DATA OBJECTIVES Write, interpret, and use the distance formula. Use the formula for the relationship between distance, fuel economy, and gas usage. Chapter 1

Key Terms odometer electronic odometer mechanical odometer trip odometer speedometer fuel economy measurement miles per gallon (mpg) kilometers per liter (km/L) English Standard System Metric System distance formula currency exchange rate

What data is important to a driver? Banking 12/15/2017 What data is important to a driver? Which is a greater distance—a mile or a kilometer? If a sign read “100 miles to the Canadian Border”, would the numeral used to represent the number of kilometers be greater than 100 or less than 100? Miles--A unit of length equal to 1760 yards 1 mi = 1.609 Kilometers The kilometer is unit of length in the metric system equivalent to one thousand meters. 1 Km = 0.6214 miles Chapter 1

Identify each component. Banking 12/15/2017 Auto Dashboard Quiz Tachometer Warning lights Speedometer Odometer Trip meter Fuel gauge Engine temperature gauge 1 2 3 4 5 6 7 Identify each component. Chapter 1

Auto Dashboard Warning Lights Quiz Banking 12/15/2017 Auto Dashboard Warning Lights Quiz 1 6 2 7 3 8 4 9 5 10 Chapter 1

Auto Dashboard Warning Lights

Example 1 A car travels at an average rate of speed of 50 miles per hour (mph) for 6 hours. How far does this car travel? Use the distance formula: D = R * T where D = distance traveled in miles R = rate of speed T = time in hours D = 50 * 6 = 300 miles

CHECK YOUR UNDERSTANDING Banking 12/15/2017 CHECK YOUR UNDERSTANDING Jimmy travels once a month to his grandparent’s home on the coast. He determines that he travels at an average rate of speed of 60 mph for 3.5 hours each way. How far away do Jimmy’s grandparents live? D = R * T fill in known variables How many miles does Jimmy drive in total? D = R * T = 60 * 3.5 = 150 miles 150 * 2 = 300 miles Chapter 1

CHECK YOUR UNDERSTANDING Banking 12/15/2017 CHECK YOUR UNDERSTANDING A car travels at an average speed of 60 mph for 7½ hours. How many miles does this car travel? Use the distance formula and fill in known values. D = 60 * 7.5 = 450 miles Chapter 1

Example 2 Jack lives in New York and will be attending college in Atlanta, Georgia. The driving distance between the two cities is 883 miles. Jack knows that the speed limit varies on the roads he will travel from 50 mph to 65 mph. He figures that he will average about 60 mph on his trip. At this average rate, how long will he be driving? (Round to the nearest tenth of an hour) D = R * T 883 / 60 = 14.716 14 hrs. & (0.716 * 60 minutes) = 14 hrs., 43 minutes D / R = T

CHECK YOUR UNDERSTANDING Danielle drove from Atlanta, Georgia, to Denver, Colorado, which is a distance of 1,401 miles. If she averaged 58 MPH on her trip, how long is her driving time to the nearest minute? Use the distance formula and fill in known values. D = R * T 1401 = 58 * T 1401 / 58 = T T = 24.15517 = 24 + (0.15517 * 60) = 24 hrs., 9 ½ min.

CHECK YOUR UNDERSTANDING Banking 12/15/2017 CHECK YOUR UNDERSTANDING Ruth is planning a 1,543-mile trip to a math teacher’s conference in San Diego. She plans to average 50 MPH. At that speed, how many hours will she spend in the car? Express to the nearest hour. Use the distance formula and fill in known values. 1543 = 50 * T T = 1543/50 = 30.86 = 31 hrs. Or 30 + (0.86*60) = 30 hrs., 52 min. Chapter 1

EXAMPLE 3 Kate left Albany, New York, and traveled to Montreal, Quebec. The distance from Albany to the Canadian border is approximately 176 miles. The distance from the Canadian border to Montreal, Quebec, is about 65 kilometers. If the entire trip took her about 3¾ hours, what was her average speed for the trip? Use the distance formula and fill in known values.

EXAMPLE 3 Where can you find conversion rates? Conversion rates for km to miles and miles to km 1 kilometer = 0.62 miles a 10K race is 6.2 miles long 1 mi = 1.609 km 1 mph = 1.609 kph

EXAMPLE 3 176 miles + 65 kilometers If the entire trip took her about 3¾ hours, what was her average speed for the trip? 65 km * 0.621371 = 40.389115 = 40.4 miles 176 + 40.4 = 216.4 D = R * T ; 216.4 = 3.75 * R R = 216.4 / 3.75 = 57.7 MPH

CHECK YOUR UNDERSTANDING Banking 12/15/2017 CHECK YOUR UNDERSTANDING In Example 3 above, Kate’s km/h can be calculated by multiplying her miles per hour by the conversion factor of 1.60934. What is her km/h? 65 * 1.60934 = Chapter 1

Applications, p.265 #2 #3 #14 Make up your own problem for EACH of the first three examples—write a story problem AND provide the solution What is the distance? (known variables = R & T) What is the rate of speed? (known variable = D & T) How much time? (known varibles = D & R)

EXAMPLE 4 Juan has a hybrid car that averages 40 miles per gallon. His car has a 12-gallon tank. How far can he travel on one full tank of gas? Distance = (miles per gallon) * (number of gallons) Distance = (kilometers per liter) * (number of liters) D = mpg * gal. OR D = kpl * l D = 40 * 12 = 480 miles

CHECK YOUR UNDERSTANDING Lily drove a total of 500 miles on 33.3 gallons of gas. What is her fuel economy measurement in miles per gallon? D = mpg * gal.

Applications, p.265-266 #4 #5 #8 TIME = 10 minutes

EXAMPLE 5 When Barbara uses her car for business, she must keep accurate records so that she will be reimbursed for her car expenses. When she started her trip, the odometer read 23,787.8. When she ended the trip it read 24,108.6. Barbara’s car gets 32 mpg. Her tank was full at the beginning of the trip. When she filled the tank, it cost her $40.10. What price did she pay per gallon of gas on this fill-up?

EXAMPLE 5 start odometer 23,787.8; end odometer 24,108.6 32 mpg; $40.10 to fill her tank What price did she pay per gallon of gas on this fill-up? D = mpg * gal. 24,108.6 – 23,787.8 = 320.8 miles 320.8 = 32 * gal. #gal. = 320.8 / 32 = 10.025 gallons 40.10 = 10.025 * $; 40.1 / 10.025 = $4.00

CHECK YOUR UNDERSTANDING Suppose a person begins a trip with an odometer reading of A miles and ends the trip with an odometer reading of B miles. If the car gets C miles per gallon and the fill-up of gas for this trip cost D dollars, write an algebraic expression that represents the price per gallon.

Applications, p.265-266 #7 #11 #13 TIME = 10 minutes

Example 6 David is driving in Mexico on his vacation. He notices that gas costs 8.50 Mexican pesos per liter. What is this equivalent to in U.S. dollars?

CHECK YOUR UNDERSTANDING On a trip through Canada, Angie noticed that the average price of gas per liter was 1.28 Canadian dollars. If 1 USD is equivalent to approximately 1.07 Canadian dollars, what is the equivalent gas price per gallon in U.S. currency?

Example 7 David knows that the price of gas in his home town is about $2.90 per gallon. How can he compare this price to the price paid in Example 6 for a liter?

CHECK YOUR UNDERSTANDING In the Example 6 Check Your Understanding, Angie knew that the price of gas in her home town was $2.50 per gallon. What is the equivalent price in Canadian dollars per liter?