Wyatt receives a plant that is 7 cm tall. It grows another 2 cm each month. The height of his plant, y, after x months can be represented by the equation y=7+2x.

Question

Complete the table below. What is the height of the plant after 1, 4, and 10 months? You can solve on paper and then enter your answer on Zearn.
y=7+2x

Time in months (x) Height in cm (y)
1
4
10

Answer 1

To find the height of the plant at different months, we can substitute the values of \( x \) (the number of months) into the equation \( y = 7 + 2x \).

1. For \( x = 1 \): \[ y = 7 + 2(1) = 7 + 2 = 9 , \text{cm} \]

2. For \( x = 4 \): \[ y = 7 + 2(4) = 7 + 8 = 15 , \text{cm} \]

3. For \( x = 10 \): \[ y = 7 + 2(10) = 7 + 20 = 27 , \text{cm} \]

Now we can fill in the table:

| Time in months (x) | Height in cm (y) | |---------------------|-------------------| | 1 | 9 | | 4 | 15 | | 10 | 27 |

So, the heights of the plant after 1, 4, and 10 months are 9 cm, 15 cm, and 27 cm, respectively.