if a tree is 10 ft tall after 2 yr. and 25 ft tall after 5 yr. find the rate of change of growth if y is the height and x is the number of years
assuming a linear function, the slope is
(25-10)/(5-2) = 15/3 = 5 ft/yr
What is the equation of a line that passes through the point (2,3) and has a slope that is undefined.
What is the equation of a line that passes through the point (2,3) and has a slope that is undefined
To find the rate of change of growth for the tree, we need to calculate the slope of the line that represents the tree's growth over time. In this case, we will use the formula for slope, which is given by:
slope = (change in y) / (change in x)
Here, y represents the height of the tree, and x represents the number of years.
Given that the tree is 10 ft tall after 2 years and 25 ft tall after 5 years, we can determine the change in y and the change in x as follows:
Change in y = 25 ft - 10 ft = 15 ft
Change in x = 5 years - 2 years = 3 years
Now, we can calculate the rate of change of growth:
slope = (change in y) / (change in x)
= 15 ft / 3 years
= 5 ft/year
Therefore, the rate of change of growth for this tree is 5 ft/year.