Transcript 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. Slide 1 Financial Algebra © Cengage/South-Western Key.

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.
Slide 1
Financial Algebra
© Cengage/South-Western
Key Terms
 English Standard System
 Metric System
 odometer
 electronic odometer
 1 km ≈ 0.621371 mi
 1 mi ≈ 1.60934 km
 mechanical odometer
 1 gal ≈ 3.8 L
 trip odometer
 1 L ≈ 0.26 gal
 speedometer
 distance formula
 fuel economy
D=R×T
measurement
 D = mpg × gal
 miles per gallon (mpg)
 D = km/L × L
 kilometers per liter (km/L)
currency exchange
Financial Algebra
rate © Cengage Learning/South-Western
Slide 2
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?
Slide 3
Financial Algebra
© Cengage Learning/South-Western
Example 2
Danielle drove from Atlanta, Georgia, to 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?
Slide 4
Financial Algebra
© Cengage Learning/South-Western
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
approximately 65 kilometers. If the entire trip took
about 3¾ hours, what was her average speed for the
trip?
Slide 5
Financial Algebra
© Cengage Learning/South-Western
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?
Slide 6
Financial Algebra
© Cengage Learning/South-Western
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 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?
Slide 7
Financial Algebra
© Cengage Learning/South-Western
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.
Slide 8
Financial Algebra
© Cengage Learning/South-Western
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? (At David’s time of travel,
1 USD = 13.3 Mexican pesos.)
Slide 9
Financial Algebra
© Cengage Learning/South-Western
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?
Slide 10
Financial Algebra
© Cengage Learning/South-Western