McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
7. Scale Drawings and Models
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Exercise 15 Page 603

Create a proportion using the given scale.

1.61 km

Practice makes perfect
We are given that the scale of a model is 1: 93 000 000. To find the model distance between Earth and the Sun, we can create a proportion. 1/93 000 000=model distance/actual distanceFrom the exercise, we know that the actual distance between Earth and the Sun is 150 000 000. Let's substitute this value into the proportion. Let x represent the model distance. 1/93 000 000=x/150 000 000 Now we will solve the above proportion for x using cross multiplication.
1/93 000 000=x/150 000 000
1*150 000 000=93 000 000* x
Solve for x
150 000 000=93 000 000x
150 000 000/93 000 000=x
150/93=x
x=150/93
x=1.6129...
x≈1.61
The model distance between Earth and the Sun is approximately 1.61 kilometers.