Worksheets — Set 14

Algebra II · Multi-step modeling problems

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Linear model: slope 17, through (0, 20). Write f(x) = ___ 2. Exponential: f(0)=17, growth factor 3. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 16, through (0, 19). Write f(x) = ___ 2. Exponential: f(0)=16, growth factor 2.9000000000000004. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=24(0.8)ˣ, 0.8 represents ___ 5. Predict f(19) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 19, through (0, 22). Write f(x) = ___ 8. Exponential: f(0)=19, growth factor 3.2. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=27(0.8)ˣ, 0.8 represents ___ 2. Predict f(22) from your model: ___ 3. Linear model: slope 22, through (0, 25). Write f(x) = ___ 4. Exponential: f(0)=22, growth factor 3.5. f(x)=___ 5. Parameter meaning: in f(x)=30(0.8)ˣ, 0.8 represents ___ 6. Predict f(25) from your model: ___

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Patterns and rules

1. Linear model: slope 33, through (0, 36). Write f(x) = ___ 2. Exponential: f(0)=33, growth factor 4.6. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

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Parent tip: Look at differences or ratios in tables