a gardener planted a newly sprouted oak tree that was just 3.5 inches tall. the sapling grew 12 inches each…

a gardener planted a newly sprouted oak tree that was just 3.5 inches tall. the sapling grew 12 inches each year. write an equation that shows how the saplings height in inches, y, depends on the number of years since it was planted, x. y =

a gardener planted a newly sprouted oak tree that was just 3.5 inches tall. the sapling grew 12 inches each year. write an equation that shows how the saplings height in inches, y, depends on the number of years since it was planted, x. y =

Answer

Explanation:

Step1: Identify the initial height

The initial height of the sapling is 3.5 inches. This is the y - intercept (b) in the linear equation $y = mx + b$.

Step2: Identify the rate of growth

The sapling grows 12 inches each year. This is the slope (m) of the linear equation.

Step3: Write the linear equation

Using the slope - intercept form $y=mx + b$, we substitute $m = 12$ and $b = 3.5$. So the equation is $y=12x + 3.5$.

Answer:

$12x + 3.5$