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.

Question

Write an equation that can be used to find the height of the plant after any number of months since Wyatt received it.
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 Wyatt's plant after any number of months, we can write an equation based on its initial height and its growth rate.

Wyatt's plant starts at a height of 7 cm and grows 2 cm each month. We can represent the height \( y \) of the plant after \( x \) months with the following linear equation:

\[ y = 7 + 2x \]

In this equation:

• \( y \) is the height of the plant in centimeters.
• \( 7 \) is the initial height of the plant.
• \( 2 \) is the amount that the plant grows per month.
• \( x \) is the number of months since Wyatt received the plant.