3 years ago

Emily notices an error in the first paragraph

English

1 answer:

Alona [7]3 years ago

7 0

What is the first paragraph?

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The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multi

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Answer:

Explanation:

The function is $f(x) = 2 \cdot 5^{x}$ , which means that an increase of a unit in x leads to a multiplicative rate of change of 5 in y. For instance:

$f(1) = 2\cdot 5^{1}$

$f(1) = 10$

$f(2) = 2 \cdot 5^{2}$

$f(2) = 2 \cdot 5\cdot 5$

$f(2) = 50$

$f(2) = f(1) \cdot 5$

$f(3) = 2\cdot 5^{3}$

$f(3) = 2 \cdot 5\cdot 5 \cdot 5$

$f(3) = f(2) \cdot 5$

Therefore, it is proven that:

$f(n) = 5 \cdot f(n-1)$

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