Worksheets — Set 18
Algebra I · Honors · Multi-step word problems and modeling
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Linear model: slope 21, through (0, 24). Write f(x) = ___ 2. Exponential: f(0)=21, growth factor 3.4000000000000004. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___
_See printable PDF for diagram._
Written practice
1. Linear model: slope 20, through (0, 23). Write f(x) = ___ 2. Exponential: f(0)=20, growth factor 3.3. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=28(0.8)ˣ, 0.8 represents ___ 5. Predict f(23) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 23, through (0, 26). Write f(x) = ___ 8. Exponential: f(0)=23, growth factor 3.6. f(x)=___
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More written practice
1. Parameter meaning: in f(x)=31(0.8)ˣ, 0.8 represents ___ 2. Predict f(26) from your model: ___ 3. Linear model: slope 26, through (0, 29). Write f(x) = ___ 4. Exponential: f(0)=26, growth factor 3.9000000000000004. f(x)=___ 5. Parameter meaning: in f(x)=34(0.8)ˣ, 0.8 represents ___ 6. Predict f(29) from your model: ___
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Patterns and rules
1. Linear model: slope 37, through (0, 40). Write f(x) = ___ 2. Exponential: f(0)=37, growth factor 5. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___
_See printable PDF for diagram._
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Stretch
1. Linear model: slope 45, through (0, 48). Write f(x) = ___ 2. Exponential: f(0)=45, growth factor 5.8. f(x)=___
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Parent tip: Look at differences or ratios in tables