To determine the number of days it will take for the vine to grow from 2.2 inches to 11.2 inches, we can set up a proportion.
Let "d" represent the number of days needed.
The growth rate of the vine is 0.2 inches per day.
The proportion can be set up as follows:
0.2 inches / 1 day = (11.2 inches - 2.2 inches) / d days
Simplifying the proportion:
0.2 / 1 = 9 / d
Cross-multiplying:
0.2d = 9
Solving for "d":
d = 9 / 0.2
d = 45
Therefore, it will take 45 days for the vine to grow from 2.2 inches to 11.2 inches.
The correct answer is 45.