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

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.

1 answer

To model the height of Plant C over time, we can use a linear equation. The height of the plant after \( t \) months can be expressed as:

\[ h = 8 + 2t \]

In this equation:

  • \( h \) is the height of the plant in centimeters.
  • \( 8 \) is the initial height of the plant when it is received (8 cm).
  • \( 2t \) represents the height growth, where \( 2 \) is the constant growth rate in cm per month, and \( t \) is the time in months.

So after \( t \) months, you can find the height of Plant C by plugging in the value of \( t \) into this equation.