When you receive Plant A, it is 4 cm tall, and it grows at a constant rate of 2 cm per month.

Are you ready to write an equation that can be used to find the height of Plant A after any number of months, or would you like to go step by step?

I’d like to write the equation step by step.

I’m ready to write the equation.

1 answer

Great! Let's go step by step to write the equation to find the height of Plant A after any number of months.

Step 1: Identify the initial height

The initial height of Plant A is 4 cm.

Step 2: Determine the growth rate

The plant grows at a constant rate of 2 cm per month.

Step 3: Define the variable for time

Let \( t \) be the number of months that have passed since you received Plant A.

Step 4: Write the equation

The height of the plant after \( t \) months can be calculated by adding the initial height to the product of the growth rate and the number of months.

The equation looks like this:

\[ \text{Height} = \text{Initial height} + (\text{Growth rate} \times t) \]

Step 5: Substitute the values

Now, substituting the initial height (4 cm) and the growth rate (2 cm/month), the equation becomes:

\[ \text{Height} = 4 + (2 \times t) \]

Final Equation

So the final equation for the height of Plant A after \( t \) months is:

\[ \text{Height} = 4 + 2t \]

You can use this equation to find the height of Plant A after any number of months! If you need further assistance or want to see how to use this equation with a specific value for \( t \), let me know!