A plant is already 41 centimeters tall, and it will grow one centimeter every month.

Let H be the plant's height (in centimeters) after M months.

Write an equation relating H to M. Then use this equation to find the plant's height after 31 months

Answer: H = 71 centimeters

Step-by-step explanation:

A plant is already 41 centimeters tall, and it will grow one centimeter every month. This means that the growth is linear. It increases in arithmetic progression. The formula for the nth term of an arithmetic sequence, Tn is expressed as

Tn = a + (n-1) d

Where a is the first term

d is the common difference

n is the number of terms

From the information given,

a = 41 centimeters

d = 1 foot

Tn = H

n = M

The equation relating H to M would be

H = 41 + (M - 1)

The plant's height after 31 months will be

H = 41 + (31 - 1)

H = 41 + 30 = 71

72 centimeter

Step-by-step explanation:

As given,

H = 41 + M

After 31 Months

H = 41 + 31

H = 72 cm

Hence if plant's height grow by 1 cm every month then the total height of the plant after 31 months will be 72 centimeter.