Question

Wyatt receives a plant that is 7 cm tall. It grows another 2 cm each month. Harper receives a seed that is 0 cm tall and grows 3 cm each month.
Now, write an equation that can be used to find the height of Harper’s plant after any number of months. Use x to represent the time in months, and let y represent the height of the plant in cm.

Answer 1

To find the height of Harper's plant after any number of months, we start by noting that the plant begins at a height of 0 cm (since it is a seed) and grows at a rate of 3 cm per month.

We can express the height \( y \) of Harper's plant as a function of the number of months \( x \) with the following equation:

\[
y = 3x
\]

Here:
- \( y \) represents the height of Harper's plant in centimeters.
- \( x \) represents the time in months.
- The coefficient 3 indicates that the plant grows 3 cm for each month that passes.

So after \( x \) months, the height of Harper's plant will be \( 3x \) cm.