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What's on the worksheet
- Rewrite each model as a linear or exponential form and say what its numbers mean.y = 12 - 0.4xy = 5(2)^{x + 2}y = 3(x + 5)y = \dfrac{120}{1.25^x}y = 9(3)^{x - 1}
- Decide whether each sentence about the delivery van's value is correct.
- Lake light model: interpret the numbers and use the model at different depths.
- Shoe size model: say what the 3 and the 22 mean and what values make sense.
- Heat pump homes: interpret the starting value and the yearly growth.
- Yeast culture: say what 500, 3 and 2 mean in the model.
- Three students model the number of deer in a reserve: compare their models.
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The free lesson teaches it with worked examples and practice problems.
Interpreting the numbers in a model: the lesson ›More Chapter 6 worksheets: Exponential functions and choosing a model
- 6.1Growth and decay factors
- 6.2What an asymptote is
- 6.3Graphs of exponential functions
- 6.4Writing an exponential function from a table or graph
- 6.5Linear versus exponential growth
- 6.6Choosing a function family for data
- 6.7Interpreting the numbers in a model
- 6.8Building a model from a description
- 6.9Where a model holds: domain, interpolation and extrapolation
- 6.10Multiplying and dividing powers with the same base
- 6.11Powers of powers, products and quotients
- 6.12Zero and negative exponents