Gavin bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 15 inches and it grew at a rate of 3 inches per month. Make a table of values and then write an equation for H, commaH, in terms of t, commat, representing the height, in inches, of the plant tt months after Gavin bought the plant.
A red X has appeared next to the input box in column 2 row 2
Number of Months	Height of the Plant (Inches)
00	

11	


Let's solve this step by step. First, we need to fill in the table for the height of the plant based on its initial height and growth rate.

### Given:
- **Initial height** = 15 inches
- **Growth rate** = 3 inches per month

The equation that models the height of the plant after \( t \) months is:

\[
H(t) = 15 + 3t
\]

Where:
- \( H(t) \) is the height of the plant (in inches) after \( t \) months.
- \( t \) is the number of months.

### Table of values:

| Number of Months \( t \) | Height of the Plant (Inches) \( H(t) \) |
|--------------------------|-----------------------------------------|
| 0                        | \( H(0) = 15 + 3(0) = 15 \)            |
| 1                        | \( H(1) = 15 + 3(1) = 18 \)            |
| 2                        | \( H(2) = 15 + 3(2) = 21 \)            |
| 3                        | \( H(3) = 15 + 3(3) = 24 \)            |
| 4                        | \( H(4) = 15 + 3(4) = 27 \)            |

You can continue filling the table by using the formula \( H(t) = 15 + 3t \) for any value of \( t \).

Would you like more details or have any questions?

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### Relative questions:
1. What will be the height of the plant after 5 months?
2. How would the equation change if the growth rate doubled?
3. What is the height of the plant after 10 months?
4. If the plant stopped growing after 6 months, how would you adjust the table and equation?
5. How would the height change if the initial height was 20 inches instead of 15?

**Tip**: Always use the given growth rate in the equation to model consistent changes in similar problems.

Gavin bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 15 inches and it grew at a rate of 3 inches per month. Make a table of values and then write an equation for H, in terms of t, representing the height, in inches, of the plant t months after Gavin bought the plant.

Learn how to model the growth of a plant with an initial height of 15 inches and a growth rate of 3 inches per month. This problem involves creating a table of values and writing the equation H(t) = 15 + 3t, representing the height of the plant t months after planting. Suitable for Grades 6-8.

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