We have a problem of a proportional relation. We will find that the plant will grow a full 10 inches after 10 months.
We can write the proportional relationship:
g = a*m
Where g is the growth, m is the number of months that passed, and a is the amount that the plant grows each month.
Then we have a = 1 inch/month.
m = number of months.
The equation becomes:
g = (1 in/month)*m
To find how long will it take for the plant to grow a full 10 inches, we just need to replace g by 10 in.
10 in = (1 in/month)*m
(10 in)/(1 in/month) = m
10 months = m
The plant will grow a full 10 inches after 10 months.
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