Worksheets — Set 4

Pre-calculus · Honors · Multi-step modeling and exam-style problems

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

Warm-up

1. Linear model: slope 7, through (0, 10). Write f(x) = ___ 2. Exponential: f(0)=7, growth factor 2. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 6, through (0, 9). Write f(x) = ___ 2. Exponential: f(0)=6, growth factor 1.9. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=14(0.8)ˣ, 0.8 represents ___ 5. Predict f(9) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 9, through (0, 12). Write f(x) = ___ 8. Exponential: f(0)=9, growth factor 2.2. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=17(0.8)ˣ, 0.8 represents ___ 2. Predict f(12) from your model: ___ 3. Linear model: slope 12, through (0, 15). Write f(x) = ___ 4. Exponential: f(0)=12, growth factor 2.5. f(x)=___ 5. Parameter meaning: in f(x)=20(0.8)ˣ, 0.8 represents ___ 6. Predict f(15) from your model: ___

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Patterns and rules

1. Linear model: slope 23, through (0, 26). Write f(x) = ___ 2. Exponential: f(0)=23, growth factor 3.6. 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