Warmup A car that is bought for $24,000 is expected to lose all its value in 10 years a) Write an equation for straight line depreciation b) What is the value after 3 years? A vehicle was purchased for $28,500. If the depreciation rate is 11%, what is the value after 6 years?

OBJECTIVES 5-7 DRIVING DATA Banking 7/16/2018 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. Calculate reaction time and braking distance Chapter 1

What data is important to a driver?

Distance = rate * time Example 1 A car travels at an average rate of speed of 50 miles per hour for 6 hours. How far does this car travel? Jack lives in New York and will be attending college in Atlanta, Georgia. The driving distance between the two cities is 883 miles. He figures that he will average about 60 mi/h on his trip. How long will the trip take? Express your answer rounded to the nearest tenth of an hour and to the nearest minute. Example 2

Example 3 Danielle drove from Atlanta, Georgia, and Denver, Colorado, which is a distance of 1,401 miles. If she averaged 58 miles per hour on her trip, how long is her driving time to the nearest minute?

EXAMPLE 4 Kate left Atlanta and traveled to Charlotte. The distance from Atlanta to the North Carolina-Georgia border is approximately 99 miles. The distance from the North Carolina-Georgia border to Charlotte is approximately 147 miles. If the entire trip took her 3 hours and 24 minutes, what was her average speed for the trip?

EXAMPLE 5 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? Lily drove a total of 500 miles on 17 gallons of gas. What was her fuel economy? EXAMPLE 6

EXAMPLE 7 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 miles per gallon. 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 8 When John started his trip, the odometer read 51,283.1. When he ended the trip it read 51,472.8. John’s car gets 28 miles per gallon. His tank was full at the beginning of the trip. When he filled the tank, it cost him $19.25. What price did he pay per gallon of gas on this fill-up?

How can you use mathematics to become a safer driver? How long do you think it takes a driver to react to something in the roadway that requires the car to stop? When a driver applies the brakes to a car How long does it take the car to stop? What distance does the car travel before it stops?

  Example 9

Reaction distance can be approximated by 1 foot for every mile per hour. Total stopping distance is the sum of reaction distance plus braking distance Rachel is driving at 48 mi/h on a one-lane highway. She sees an accident directly ahead of her about 200 feet away. Will she be able to stop in time? EXAMPLE 10

CHECK YOUR UNDERSTANDING What is the total stopping distance for a car traveling at 65 mi/h?