Question

the southern hill zoo has a bamboo plant that was 2 feet tall when planted. the plant has grown 3 feet per day! write an equation that shows how the height of the bamboo plant in feet, y, depends on how many days have passed, x. y =

Explanation:

Step1: Identify the initial height and growth rate

The initial height (when \( x = 0 \)) is 2 feet. The growth rate is 3 feet per day, which is the slope of the linear equation.

Step2: Use the slope - intercept form of a linear equation

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( m = 3 \) (growth rate in feet per day) and \( b = 2 \) (initial height in feet). Substituting these values into the equation, we get \( y=3x + 2 \).

Answer:

\( 3x + 2 \)