Download Financial Algebra - Renton School District

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Slide 1
AUTOMOBILE
OWNERSHIP
Classified Ads
Buy or Sell a Car
Graph Frequency Distributions
Automobile Insurance
Linear Automobile Depreciation
Financial Algebra
© Cengage/South-Western
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Slide 2
AUTOMOBILE
OWNERSHIP
Historical and Exponential Depreciation
Driving Data
Driving Safety Data
Accident Investigation Data
Financial Algebra
© Cengage/South-Western
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DRIVING SAFETY DATA
OBJECTIVES
Calculate reaction time and distance in the
English Standard System.
Calculate and use the braking distance in
both the English Standard and Metric
Systems.
Calculate and use the total stopping distance
in both the English Standard and Metric
Systems.
Slide 3
Financial Algebra
© Cengage/South-Western
Key Terms
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Slide 4
reaction time
thinking time
reaction distance
braking distance
total stopping distance
Financial Algebra
© Cengage Learning/South-Western
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?
Slide 5
Financial Algebra
© Cengage Learning/South-Western
Example 1
What is the reaction distance for a car traveling
approximately 48 miles per hour?
Prove this solution:
reaction distance = 1.5 feet per second
Slide 6
Financial Algebra
© Cengage Learning/South-Western
Example 1
What is the reaction distance for a car traveling
approximately 48 miles per hour?
Prove this solution:
reaction distance = 1.5 feet per second
Slide 7
Financial Algebra
© Cengage Learning/South-Western
Example 1
reaction distance = 1.5 feet per second
55 mph = miles
1 hour
55 mph * #hours = 55 *
1
= 55 miles
1 hour #minutes 1 (60 min * 60 sec)
3600 sec
55 miles = 55 mile * 5280 feet = 290,400 = 80.667 ≈81 ft/sec.
3600 sec
3600 sec
3600
Slide 8
Financial Algebra
© Cengage Learning/South-Western
Example 1
55 mph = 81 ft/sec.
0.75 * 81 ft/sec. = 60.75 ft.
1.5 * 81 ft./sec = 121.5 ft.*
NOTE: a profession basketball court is 94 feet long
a high school basketball court is 84 feet long
Slide 9
Financial Algebra
© Cengage Learning/South-Western
Example 1
What is the reaction distance for a car traveling
approximately 48 miles per hour?
Mph * 5280 ft. = x ft./sec
3600 sec
48 * 5280 = 253,440 = 70.4 feet
3600
3600
Slide 10
Financial Algebra
© Cengage Learning/South-Western
CHECK YOUR UNDERSTANDING
A car is traveling at 65 mi/h. Approximately how far will it
travel during the average reaction time?
Mph * 5280 ft. = x ft./sec
3600 sec
65 * 5280 = 343,200 = 95.33 feet
3600
3600
Slide 11
Financial Algebra
© Cengage Learning/South-Western
Applications, p.270
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Financial Algebra
© Cengage Learning/South-Western
Example 2
What is the approximate braking distance for a car traveling
at 48 mi/h?
Use the braking distance formula s2 / 20
Type into your calculator: 48^2 ÷ 20 =
= 115.2
Slide 13
Financial Algebra
© Cengage Learning/South-Western
CHECK YOUR UNDERSTANDING
What factors also need to be taken into account that might
add to or subtract from the braking distance?
Slide 14
Financial Algebra
© Cengage Learning/South-Western
Applications, p.270
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Financial Algebra
© Cengage Learning/South-Western
EXAMPLE 3
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?
Slide 16
Financial Algebra
© Cengage Learning/South-Western
CHECK YOUR UNDERSTANDING
What is the total stopping distance for a car traveling at 65
mi/h?
Slide 17
Financial Algebra
© Cengage Learning/South-Western
Applications, p.270
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Financial Algebra
© Cengage Learning/South-Western