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A professional basketball player is 76 inches tall. A model of this player is 6

inches tall. Determine the simplified scale factor of the model to the real-life
player. Use colon notation. Then explain what the scale factor means.

User Typedef
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2 Answers

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Answer: The scale factor for the basketball player to the model is 16 inches to 1 inch

Explanation:

User LStrike
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The scale factor of the model to the real-life player is 6:76. This can be read as 6/76 or 0.0789 or 0.079(approximately)

The scale factor is a ratio that compares the size of the model to the size of the real-life object. In this case, the scale factor of 6:76 tells us that for every 76 inches of the real-life player, the model is only 6 inches. In other words, the model is 6/76 or approximately 0.0789 times smaller than the real-life player.

In general, a scale factor is a number used to multiply all the dimensions of an object to get a corresponding model or representation of that object, where the ratio of the corresponding dimensions between the real-life object and the model is represented by the scale factor.

It should be noted that the scale factor can also be represented in fraction or decimal form, but the colon notation gives a more meaningful representation of the comparison of the size between the model and the real-life object.

User Esilver
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