Algebra 2 Companion Book, Volume 2

9.2.3 Modeling Real-World Data − Practice

2.  Write a function that models the given data.

1.  Use finite differences or ratios to determine which parent function (constant, linear, quadratic, or cubic) would best model the given data set.

Time (min)

Bacteria

0 1 2 3 4 5

199 248 312 390 489 610

Year

Cost ($) 1124.64 1552.01 2142.77 2955.65 4078.79

1 2 3 4 5

4.  Write a function that models the given data.

3.  Write a function that models the given data.

Year Units (millions) 1 18 2 41 3 67 4 82 5 69 6 17

Year Units (millions) 0 34 1 113 2 304 3 615 4 1042 5 1584

6.  Write a function that models the given data.

5.  Write a function that models the given data.

Time (min)

Bacteria

Time (min)

Bacteria

0 1 2 3 4 5

199 248 312 390 489 610

0 1 2 3 4 5

450 306 208 141

96 65

280

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