Question

For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.

Answer 1

Hybrid cars have lower operational cost and reduce Green House Gases

GHG when journeys are made on a frequent basis.

• The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.

Reasons:

The given parameters are;

The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds

• The price per gallon of gasoline = $2.454

Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.

Amount of GHG produced per year by cars A = 4.4 tons

4.4 US tons = 8,800 lbs

Amount of GHG produced per year by cars A = 8.8 tons

8.8 US tons = 17,600 lbs

$\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}$

Cost of gasoline consumed per year by car A per year is therefore;

$Cost_A$ = 440 gallons × $2.454 = $1,079.76

$\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons$

Cost of gasoline consumed per year by car B per year is therefore;

$Cost_B$ = 880 gallons × $2.454 = $2,159.52

The amount saved annually by car A compared to car B is therefore;

Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76

• The amount saved on gas by the 40 MPG car = $1,079.76

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