Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and 2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.
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OpenStudy (♪chibiterasu):
Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same.
OpenStudy (♪chibiterasu):
But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.
OpenStudy (♪chibiterasu):
How many inches are there in a foot?
OpenStudy (anonymous):
Then if the ratios are same then it is a model
OpenStudy (anonymous):
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OpenStudy (♪chibiterasu):
Um, I already said that but yes. Well, there are 12 inches ina foot so let's multiply 56 by 12.
OpenStudy (♪chibiterasu):
56 • 12 = 672
Now, divide 672 by 8:
672/8 = 84
OpenStudy (♪chibiterasu):
So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model
OpenStudy (♪chibiterasu):
21 • 12 = 252
2.5 • 84 = 210
OpenStudy (♪chibiterasu):
It is not equal, so no, it is not a true scale model.
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