  # 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 .30months after the observations started, the tree would be feet in height.months after the observation started, the tree would be 23.11feet tall.

Question

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.

check_circleExpert Solution
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

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