Answer: y = 3 + 2(x - 1)
Step-by-step explanation:
A plant is 3 inches tall when you purchase it and grows 2 inches per month. The growth rate per month is linear, thus it is increasing in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a + (n - 1)d
Where a is the first term of the sequence.
n is the number of terms of the sequence.
d is the common difference.
From the information given,
a = 3 inches (original height when it was purchased)
d = 2 inches( growth rate per month)
n = x (number of months)
Tn = y( the height in x months)
The equation that represents the length y (in inches) of a plant that you purchased x months ago will be
y = 3 + 2(x - 1)
