Question
Use the table to answer the question.
x
(time in years) 0 2 4
y
(height of tree in feet) 3 6 9
Interpret the y
-intercept and slope in the context of this situation. For the slope, give the most simplified rate using whole numbers.(2 points)
The y
-intercept is
feet. The slope is
feet every
year(s).
x
(time in years) 0 2 4
y
(height of tree in feet) 3 6 9
Interpret the y
-intercept and slope in the context of this situation. For the slope, give the most simplified rate using whole numbers.(2 points)
The y
-intercept is
feet. The slope is
feet every
year(s).
Answers
GPT 3.5
The y-intercept in this situation represents the starting height of the tree when x (time) is 0. In this case, the tree is 3 feet tall when it is first planted, so the y-intercept is 3 feet.
The slope in this situation represents the rate at which the height of the tree increases every year. To find the slope, we can use the formula (y2 - y1) / (x2 - x1). Using the points (0,3) and (4,9), we get:
(9 - 3) / (4 - 0)
6 / 4
3/2
So the slope is 3/2 feet every 2 years, or 1.5 feet every year.
The slope in this situation represents the rate at which the height of the tree increases every year. To find the slope, we can use the formula (y2 - y1) / (x2 - x1). Using the points (0,3) and (4,9), we get:
(9 - 3) / (4 - 0)
6 / 4
3/2
So the slope is 3/2 feet every 2 years, or 1.5 feet every year.