5.5.1 Identifying Linear and Exponential Quantities

Algebra 15.5.1 Identifying Linear and Exponential Quantities

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Warm Up

Use the patterns you notice to complete the tables. Show your reasoning. Complete your work on paper.

Table A

$x$	0	1	2	3	4	25
$y$	2.5	10	17.5	25

Compare your answers:

Table A: 32.5 when $x$ is 4, and 190 (or $2.5 + 25 \cdot 7.5$ ) when $x$ is 25.

Table B

$x$	0	1	2	3	4	25
$y$	2.5	10	40	160

Compare your answers:

Table B: 640 when $x$ is 4, and $2.5 \cdot 4^{25}$ when $x$ is 25.

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