Anonymous
Anonymous asked in Science & MathematicsMathematics · 8 months ago

SAT MATH PROBLEM. How do I solve this?

Selena created a scale model of an airplane where 1 centimeter on the model equals 6 meters on the airplane. The wingspan of the model is 10.7 centimeters. Selena wants to make a new model where a scale of 1 centimeter on the model equals 3 meters on the airplane. Which of the following best describes how the wingspan of the new model will compare to the wingspan of the first model?

Answer D

The wingspan of the new model will be 2 times as long as the wingspan of the first model

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  • 8 months ago
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    You have the question and you have given the correct answer. So what is it you need help with?

    It may seem counterintuitive, but if you have the same unit (1 cm) equal *half* the real measurement, that means the model will have to be *twice* as big to represent the same real life object.

    Let's take a simpler example, with a real life object that was 30 meters long. With the first scale, 30m / 6m = 5. So it would be represented with a model that was 5 cm long.

    But now if you take that and use the second scale, 30m / 3m = 10. So it would be represented by a model that was 10 cm long.

    Answer:

    D. The model would be *twice* as big using the new scale.

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  • 8 months ago

    The wingspan of the new model will be 2 times as long as the wingspan of the first model

    Yes. Isn't the SAT at least middle school stuff?

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  • 8 months ago

    If on the original, 1 cm equals 6 meters, and the new model is 1cm equals 3 meters, that means 10.7 multiplied by 10.7 = 64.2. The new model would be half of that since 3 is half than six, therefore it would be 32.2

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