The plant, growing 1.2 inches per week, will reach a foot (12 inches) in just 7.5 weeks! Think of it like climbing stairs - each week it takes one big step (1.2 inches) and after 7.5 steps, it reaches the top (one foot).
To find how many weeks it takes the plant to reach one foot (12 inches), we need to solve the equation for w when h equals 12:
1. Set h equal to 12 inches:
12 = 1.2w + 3
2. Subtract 3 from both sides:
9 = 1.2w
3. Divide both sides by 1.2:
w = 7.5
Therefore, it takes the plant 7.5 weeks to reach one foot in height.
Remember that plants usually grow in whole weeks, so you could round up 7.5 to 8 weeks to be on the safe side.