Question

A plant has an initial height of 3 inches and grows at a constant rate of 2 inches each month. A second plant that also grows at a constant rate has an initial height of 1 inch and 29 inches tall after 1 year. after how many months are the plants the same height

Answer 1

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.