Questions 1. In the 1984 movie Ghostbusters , a 112.5-foot-tall Stay Puft marshm

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Questions

1. In the 1984 movie Ghostbusters, a 112.5-foot-tall Stay Puft marshmallow man goes on a murderous rampage in New York City. After the film’s successful box office run, a 20-inch replica of the big guy was sold in toy stores. What scale was used to make the replica? Give your answer both as a reduced fraction or ratio and as a percentage.

2. Doll houses provide an excellent example of scale modeling. The 1/2 inch scale is very common for doll houses; this means that 1/2 inch on the doll house corresponds to 1 foot for life-sized objects. Make sure you clearly show all calculations and units as you answer the following questions:

A) The width of one doll house is 34 in. Assuming that it uses the 1/2 inch scale, what’s the width of the full-sized house that it’s modeled after?

B) If you’re building a model stove for the doll house in part A), how tall should it be if the standard height for a full-sized stove is 36 inches?

3. When advertising special financing deals, car makers often use rates to describe what your monthly payment will look like. (This is because the amount you need to borrow varies widely based on the car you choose and the down payment you make.) In January 2013, Hyundai offered 2.9% financing on the Genesis coupe which would result in monthly payments of $22.09 per $1,000 borrowed for 48 months.

A) For every ________________ borrowed, the monthly payment will be__________.

B) Write the rate Hyundai advertised as a fraction.

C) What would your monthly payment be if you borrowed $18,000?

D) If your monthly payment is $331.35, how much did you borrow?

E) If you agree on a price of $23,900 (including taxes and fees) for a Genesis and the dealership offers you $7,500 in trade for your old car, how much would your monthly payment be?

4. Glaciers are large masses of ice that flow like rivers across the ground. Really, really slow, ice rivers. Most move less than a foot per day. At one point, the San Rafael glacier in Chile was moving 203 millimeters per day.

A) How fast was it moving in inches per hour? (1 inch is 25.4 mm.)

B) Find the speed in miles per hour, then explain why that’s a silly unit of speed in this case. (Note that your calculator will probably give you an answer in scientific notation. If you’re not familiar with that, a little Internet research might be in order.)

C) How long would it take the glacier to move the length of a football field (100 yards)? (Round to the nearest tenth of an hour.)

Explanation / Answer

1) 112.5 feet = 112.5x12 = 1350 inches

Size of replica is 20 inch.

So, the scale is 20:1350 = 2:135

As a percentage, it is 20 x 100/1350 = 1.48%

2) 1 foot = 12 inches

So, the scale is 0.5/12 = 1/24

A) Width of doll house = 34 in

So, width of the real house = 34x24 inches

= 816 inches = 68 feet

B) Size of full stove = 36 inches

So, size of model = 36 x 1/24 = 1.5 inches

(2 questions are answered here, please post individual questions separately)

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