Tuesday, September 1, 2009

Problems of the Month--September

Cash for Clunkers

1. On July 31, 2009 the US government decided to make an additional two billion dollars available to the “Cash for Clunkers” program that is aimed at jump-starting the car industry. The bill was passed with a yes-to-no vote count of 316-to-109. What percent of the votes supported passing the bill? Express your answer to the nearest hundredth.

2. Jillian decides to take advantage of this program and trades in her old car (which only got 15 miles per gallon of gasoline) for a new car that gets 32 miles per gallon of gasoline. Gas currently costs $2.52 per gallon in her town. If she drives an average of 1000 miles per month and gas continues to average $2.52 per gallon, how much money will Jillian save on gas in one year?

3. Franklin is also taking advantage of the Cash for Clunker program and is trading in his car that got 18 miles per gallon of gas (which is the highest gas mileage that a car can get and still qualify as a “clunker”). The original price of the car he plans to purchase is $15,095, but because the new car will improve Franklin’s gas mileage by over 10 miles per gallon, he will get $4500 off of the price of the new car. If Franklin has to pay a 6% sales tax on the discounted price of this car, how much will he end-up paying for the car and the sales tax combined?

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