Question

A plant is already 43 centimeters tall, and it will grow one centimeter every month. The plants height H (in centimeters) after m months is given by the following function H(m)=43+m what is the plant’s height after 34 months

Answer 1

The plant will be 77 centimeters tall after 34 months

Explanation:

Answer 2

A plant is already 43 centimeters tall, and it will grow one centimeter every month.The height of the plant after 34 months will be 77 cm.

Solution:

Given that current height of the plant is 43 centimeter.

Growth rate of plant is 1 cm in a month

So increase in height in 1 month = 1 cm

Similarly increase on height in
`1 * 2 month = 1 * 2 = 2 cm`

So we can say that increase in height in “m” month =
`1 * m` = “m” cm

After “m” months,

Total height H(m) = current height + increase in height in m months

H(m) = 43 + m

So after m=34 months

H(m)=43+34

H(m)=77 cm

Hence height of the plant after 34 months will be 77 cm.