Final answer:
The height of the plant after 5 weeks would be 12 inches.
Step-by-step explanation:
To represent the number of weeks as x and height of the plant as y, we can create an equation:
y = 2x + 2
Here, the number of weeks (x) is multiplied by the growth rate (2.5 inches/week) and added to the initial height of the plant (2 inches).
For 5 weeks, plug in 5 for x in the equation to find the height of the plant:
y = 2(5) + 2
y = 10 + 2
y = 12 inches
Therefore, after 5 weeks, the height of the plant would be 12 inches.