EXAMPLE 4 Check data for inverse variation

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EXAMPLE 4 Check data for inverse variation The table compares the area A (in square millimeters) of a computer chip with the number c of chips that can be obtained from a silicon wafer. Computer Chips • Write a model that gives c as 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 SOLUTION STEP 1 Calculate the product A c for each data pair in the table. 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 A and c is: A c = 26,000 , or c = A 26,000

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

GUIDED PRACTICE for Example 4 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 A 26,000 329 c = = 79 ANSWER about 329 chips