Question

You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.

Answer 1

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:

$s(x) = 8 + 4x$

$h(x) = 14 + 6x$

Step-by-step explanation:

Given

Spruce Tree (s):

$Initial\ Height = 8$

$Growth = 4$ (yearly)

Hemlock Tree (h):

$Initial\ Height = 14$

$Growth = 6$ (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

$Equation = Initial\ Height + Growth * x$

For Spruce Tree (s):

$s(x) = 8 + 4 * x$

$s(x) = 8 + 4x$

For Hemlock Tree (h):

$h(x) = 14 + 6 * x$

$h(x) = 14 + 6x$

Hence, the equations are $s(x) = 8 + 4x$ and $h(x) = 14 + 6x$