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Computer Chip Area Comparison Model

This model predicts the number of chips per silicon wafer based on the area of the computer chip. It demonstrates inverse variation and provides accurate predictions for chip area calculations.

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Computer Chip Area Comparison Model

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  1. Computer Chips The table compares the area A(in square millimeters) of a computer chip with the number cof chips that can be obtained from a silicon wafer. • Write a model that gives cas a function of A. • Predict the number of chips per wafer when the area of a chip is 81 square millimeters. EXAMPLE 4 Check data for inverse variation

  2. STEP 1 Calculate the product A cfor each data pair in the table. 26,000 A c = 26,000 ,orc = A EXAMPLE 4 Check data for inverse variation SOLUTION 58(448) = 25,984 62(424) = 26,288 66(392) = 25,872 70(376) = 26,320 Each product is approximately equal to 26,000. So, the data show inverse variation. A model relating Aand cis:

  3. STEP 2 Make a prediction. The number of chips per wafer for a chip with an area of 81 square millimeters is c = 321 26,000 81 EXAMPLE 4 Check data for inverse variation

  4. 26,000 26,000 329 = c = 79 A ANSWER about 329 chips for Example 4 GUIDED PRACTICE 8. What If? In Example 4, predict the number of chips per wafer when the area of each chip is 79 square millimeters. SOLUTION The number of chips per wafer for a chip with an area of 79 square millimeters is

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