Question

you got it right - just one more to go!
the oak tree is growing. from a starting height when planted, the tree grows taller at a constant number of feet per year. the following graph shows the tree height since it was planted.

question 1: what was the trees height when planted (to the nearest foot)?
enter the number without units:
question 2: how fast is the tree growing (to the nearest foot per year)?
enter the number without units:
question 3: if the tree were growing slower (choose as many as fit):

• the line would be flatter
• the line would be steeper
• the intercept on the vertical axis would be lower
• the intercept on the vertical axis would be higher

question 4: if the trees height when planted were lower (choose as many as fit):

• the line would be flatter
• the line would be steeper
• the intercept on the vertical axis would be lower
• the intercept on the vertical axis would be higher

Explanation:

Step1: Identify planted height (x=0)

The vertical intercept (x=0) is 6.

Step2: Calculate growth rate (slope)

Slope = $\frac{\text{Change in height}}{\text{Change in years}} = \frac{9-6}{1-0} = 3$

Step3: Analyze slower growth effect

Slope represents growth rate; smaller slope = flatter line.

Step4: Analyze lower planted height effect

Vertical intercept = initial height; lower initial height = lower intercept.

Answer:

Question 1: 6
Question 2: 3
Question 3: The line would be flatter
Question 4: The intercept on the vertical axis would be lower