College

A tree is planted when it is 114 centimeters (cm) tall. Each year, it grows 21 cm.

Which equation represents this situation?

A. [tex]h = 114 + 21t[/tex]

B. [tex]h = 114 - 21t[/tex]

C. [tex]h = 21t - 114[/tex]

D. [tex]h = 21t + 114[/tex]

Answer :

Final answer:

The situation given, where a tree growing 21cm per year from an initial height of 114cm, is represented by the linear equation y = 21x + 114.

Explanation:

The situation described is one of linear growth. In mathematics, we often use the form y = mx + b for equations that represents linear growth situations.

In this equation, y represents the final height of the tree each year, m denotes the growth rate of the tree each year, x symbolizes the number of years that have passed, and b is the initial height of the tree.

As the tree is initially inches tall and grows 21cm each year, the equation is: y = 21x + 114.

Learn more about Linear Growth here:

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