A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 800 centimeters tall.

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Ivory

Mathematics

2 October, 13:33

A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 800 centimeters tall.

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Goober · Answer 1

You would turn this into a function f (x). So the constant rate (or slope) is 0.5, so you start off with f (x) = 0.5x. But you know that it starts at 8000, which is your intercept. So your final result is

F (x) = 0.5x + 8000