84.6k views
0 votes
Write an equation for this situation: A tree was 2 feet tall when it was planted (year 0). This tree always grows at a constant rate, and 1 year later it was 3 feet tall.

a. h(t) = 2t + 3
b. h(t) = 2t - 1
c. h(t) = 2t + 1
d. h(t) = 2t - 3

1 Answer

3 votes

Final answer:

The correct equation representing the growth of the tree, which was 2 feet tall when planted and grows at a constant rate of 1 foot per year, is h(t) = 2t + 1, which matches option c.

Step-by-step explanation:

The question involves writing an equation for the growth of a tree over time, which is a mathematics problem, specifically related to linear functions and their applications. Since the tree grew from 2 feet to 3 feet in one year, the rate of growth is 1 foot per year. The tree's height after a certain number of years, t, can be given by h(t) which represents the height of the tree at time t. We are looking for an equation that starts with a height of 2 feet at year 0 (when the tree was planted) and increases by 1 foot each year.

To find the correct equation, we can examine the choices presented. Option a. h(t) = 2t + 3 does not fit the given parameters as it would mean the tree was 3 feet tall at year 0 and grows at a rate of 2 feet per year. Option b. h(t) = 2t - 1, also does not fit because it suggests that the tree was 1 foot tall when planted and grows at double the correct rate. Similarly, d. h(t) = 2t - 3 implies the tree was 3 feet tall when planted and would be negative at time 0, which does not make sense. Therefore, the correct equation must be option c. h(t) = 2t + 1, where t represents years since the tree was planted and the tree height increases by 1 foot each year and starts at 2 feet tall at year 0.

User SeekDaSky
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.