Use the table to answer the question.
x
(time in years) 0 2 4
y
(height of tree in feet) 3 6 9Interpret 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).
(The y-intercept is 3 feet but the slope is not 1.5 feet every 1 year.)
The y-intercept is 3 feet. This means that when the time is 0 years, the height of the tree is 3 feet.
To find the slope, we need to calculate the change in height over the change in time.
Slope = (Change in y) / (Change in x) = (9-3) / (4-0) = 6/4 = 3/2
This means that the slope is 1.5 feet every 1 year. Therefore, the slope is 1.5 feet every 1 year.
it is not The y-intercept is 3 feet but the slope is not 1.5 feet every 1 year.
I apologize for the error in my previous response.
The y-intercept is 3 feet. This means that when the time is 0 years, the height of the tree is 3 feet.
To find the slope, we need to calculate the change in height over the change in time.
Slope = (Change in y) / (Change in x) = (9-3) / (4-0) = 6/4 = 1.5
This means that the slope is 1.5 feet every 1 year. Therefore, the slope is 1.5 feet every 1 year.