When you receive Plant C, it is 8 cm tall and grows at a constant rate of 2 cm per month.

Question

Write an equation that can be used to find the height of Plant C after any number of months. Use t to represent the time in months, and let h represent the height of the plant in cm.

Answer 1

To find the height of Plant C after any number of months, we can use a linear equation based on its initial height and the rate at which it grows.

Starting height of Plant C = 8 cm
Growth rate = 2 cm per month
Let \( t \) represent the time in months and \( h \) represent the height of the plant in cm.

The equation to represent the height of Plant C after \( t \) months is:

\[ h = 8 + 2t \]

In this equation, \( h \) is the height of the plant after \( t \) months, 8 is the initial height (at \( t = 0 \)), and \( 2t \) represents the growth of the plant over \( t \) months.