Question

George is taking a road trip. His car holds 12 gallons of gas and has a fuel economy of 24 miles per gallon. The speed limit is 55 mph on the highway he will travel on, and he plans to drive at 60 mph. Suppose he leaves at 8am with a full tank of gas.

a) determine an equation which represents the number of gallons left in George's car as a function of time in hours.

b) determine and equation which represents the amount of miles George has driven as a function of time in hours since 8AM.

c) how many miles will George be able to travel without refilling his tank? At what time will George need to refill his tank by?

Answer #1

On a road trip of 105 miles your car has a gas consumption of 33
miles per gallon. Assuming that the gasoline you burn is 100%
octane, how many kg of carbon dioxide do you release into the
atmosphere when you make that drive? The density of octane is 703
kg/m3 and one US gallon is 3.79 liters.

On a road trip of 142 miles your car has a gas consumption of 31
miles per gallon. Assuming that the gasoline you burn is 100%
octane, how many kg of carbon dioxide do you release into the
atmosphere when you make that drive? The density of octane is 703
kg/m3 and one US gallon is 3.79 liters.

Stan Moneymaker needs 14 gallons of gasoline to top off his
automobile's gas tank. If he drives an extra eight miles (round
trip) to a gas station on the outskirts of town, Stan can save
$0.15 per gallon on the price of gasoline. Suppose gasoline costs
$2.40 per gallon and Stan's car gets 27 mpg for in-town driving.
Each mile that Stan drives creates one pound of carbon dioxide.
Each pound of CO2 has a cost impact of $0.03 on...

Stan Moneymaker needs 16 gallons of gasoline to top off his
automobile's gas tank. If he drives an extra eight miles (round
trip) to a gas station on the outskirts of town, Stan can save
$0.12 per gallon on the price of gasoline. Suppose gasoline costs
$2.90 per gallon and Stan's car gets 25 mpg for in-town driving.
Each mile that Stan drives creates one pound of carbon dioxide.
Each pound of CO2 has a cost impact of $0.03 on...

Some people believe that higher-octane fuels result in better
gas mileage for their car. To test this claim, a researcher
randomly selected 11 individuals to participate in the study. Each
participant received 10 gallons of gas and drove his car on a
closed course. The number of miles driven until the car ran out of
gas was recorded. A coin flip was used to determine whether the car
was filled up with 87-octane or 92-octane first, and the driver
did...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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