Answer:
4.8 months
Step-by-step explanation:
First, let's write down the information that we are given.
Plant A:
Initial Height: 3 in.
Constant Rate of Growth (CRG): 2in/month (2 inches per month)
Plant B:
Initial Height: 1 in.
CRG: 29in/year (29 inches per year)
We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.
Plant B - Divide by 12 (12 months in a year)
29/12 in/year
Now, Lets put these into equations:
Plant A: y = 2x + 3
Plant B: y = 29/12 x + 1
Now, set these two equations together and solve for x.
2x + 3 = 29/12 x + 1
2 = 5/12 x
4.8
So, after 4.8 months, the plants will be the same height.
