Complete Question:
You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.
The initial heights are shown.
Write a system of linear equations that represents this situation.
Answer:
[tex]s(x) = 8 + 4x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Step-by-step explanation:
Given
Spruce Tree (s):
[tex]Initial\ Height = 8[/tex]
[tex]Growth = 4[/tex] (yearly)
Hemlock Tree (h):
[tex]Initial\ Height = 14[/tex]
[tex]Growth = 6[/tex] (yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
[tex]Equation = Initial\ Height + Growth * x[/tex]
For Spruce Tree (s):
[tex]s(x) = 8 + 4 * x[/tex]
[tex]s(x) = 8 + 4x[/tex]
For Hemlock Tree (h):
[tex]h(x) = 14 + 6 * x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]
