SOLUTION: A biologist has been observing a tree’s height. 12 months into the observation, the tree was 17.74 feet tall. 18months into the observation, the tree was 18.76 feet tall Let 𝑥

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: A biologist has been observing a tree’s height. 12 months into the observation, the tree was 17.74 feet tall. 18months into the observation, the tree was 18.76 feet tall Let 𝑥      Log On


   

Question 1133076: A biologist has been observing a tree’s height. 12 months into the observation, the tree was 17.74 feet tall. 18months into the observation, the tree was 18.76 feet tall Let 𝑥be the number of months passed since the observations started, and let 𝑦be the tree’s height at that time. Use a linear equation to model the tree’s height as the number of months pass.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A biologist has been observing a tree’s height.
12 months into the observation, the tree was 17.74 feet tall.
18 months into the observation, the tree was 18.76 feet tall
Let 𝑥be the number of months passed since the observations started, and let 𝑦be the tree’s height at that time.
Use a linear equation to model the tree’s height as the number of months pass.
:
The slope formula: m =%28%28y2-y1%29%29%2F%28%28x2-x1%29%29, where
x1 = 12; y1 = 17.74
x2 = 18; y2 = 18.76
m = %28%2818.76-17.74%29%29%2F%28%2818-12%29%29
m = 1.02%2F6
:
using the point slope formula; y - y1 = m(x - x1)
y - 17.74 = 1.02%2F6(x - 12)
using decimals here
y - 17.74 = .17x - 2.04
y = .17x - 2.04 + 17.74
y = .17x + 15.7 is the equation