The quantity Q of a chemical responsible for skin elasticity is measured at various ages

Chapter 21, Problem 7

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The quantity Q of a chemical responsible for skin elasticity is measured at various ages (t years). The results are shown in the table and graph. a What is the effect on Q as t increases? b Is the graph linear? c Construct a table of values comparing Q with pt. d Explain why Q = mpt + c is a likely model for the original data. e Use your calculator to find m and c. f Find the quantity of chemical in: i a newly born baby ii a 25 year old. g Are the answers in f likely to be reliable? Age t (years) 2 10 20 30 50 65 80Chemical Q (mg) 119 98 82 70 50 40 30

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