Question

Asked Jan 23, 2019

A biologist has been observing a tree’s height. 15 months into the observation, the tree was 14.75 feet tall. 19 months into the observation, the tree was 15.51 feet tall.

Let x be the number of months passed since the observations started, and let y be the tree’s height at that time. Use a linear equation to model the tree’s height as the number of months pass.

This line’s slope-intercept equation is .

30

months after the observations started, the tree would be feet in height.

months after the observation started, the tree would be 23.11

feet tall.

Step 1

Let, the number of months passed since the observations started = x

and the tree's height = y

Now, let the linear equation to model the tree's height as the number of months pass be ,

y = mx + c Eq(1)

where, m = slope of the line & c= intercept

Given,

15 months into the observation, the tree was 14.75 feet tall and 19 months into the observation, the tree was 15.51 feet tall.

So, let;

Step 2

Now, we know these points passes through line in Eq(1). So we will substitute these points in Eq(1). and solve for m & c as shown ;

Step 3

**Answer : ** line’s slope-intercept equatio...

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