Question

2 foot tall pine trees was planted during a school's observation of Earth Awareness Week in 1990. The treehas grown at an average rate of 0.5 foot per year. Write a linear relation that gives the height of the tree interms of the number of years since it was planted.

Answer 1

A linear equation has the following form:

`y=mx+b`

Where "y" is the independet variable, "x" is the dependent variable, "m" is the rate of the relation and "b" is the starting point of the relation.

In this case, we want an equation that gives the height in terms of the number of years since it was planted.

This means that "y" is the height and "x" is the time since it was planted.

The rate, "m", is how much the height changed each year, so it is the given value of 0.5 foot per year.

The starting point, "b", is when x = 0, that is, the height in the year it was planted, which is given to be 2 foot.

So, we substitute "m" and "b" to get the linear relation:

`y=0.5x+2`