Unit 7 Investigation

Solve the representation example, then name the feature of additive versus multiplicative change that it illustrates: Classify$$2,6,18,54$$

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Connect two representations for this example: Analyze $-3\cdot 2^(x-1)+4$. Describe what a graph, table, mapping, or algebraic form would have to show.

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Explain why this conclusion is valid: Continuous decay with one-unit multiplier $e^-0.3\approx 0.7408$. Use the foundation problem as evidence: Interpret $80e^(-0.3t)$.

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Create a nearby example by changing one number or condition in this prompt: $P(0)$ for $\frac{900}{1+8e^-t}$. Predict the effect, solve your new example, and compare it with the original.

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Connect two representations for this example: Expand $log_b(\frac{5x^3}{y})$. Describe what a graph, table, mapping, or algebraic form would have to show.

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