A tree was 3.5 feet tall after two years and 8.75 feet tall after five years. If the tree grew at a constant rate, how tall would it be after three years?
+130511 We can construct this as a linear relationship with the x values being the time and the y values representing the height at some time.
And we have the points (2, 3.5) and (5, 8.75)
We can find he slope of this line by taking the difference in the y values and dividing this by the difference in the x values.
So we have (8.75 - 3.5) / (5 - 2) = 5.25/ 3
And using one of the points - I'll choose (2, 3.5) - and the slope, we can write the equation of the line....so we have.....
y - 3.5 = (5.25 / 3)(x - 2) simplify
y = (5.25x) / 3 - 10.5/3 + 3.5
y = (5.25x) / 3 - 3.5 + 3.5
y = (5.25x) / 3
So, after 3 years, we have
y = 5.25(3) / 3 = 5.25 ft tall
+130511 We can construct this as a linear relationship with the x values being the time and the y values representing the height at some time.
And we have the points (2, 3.5) and (5, 8.75)
We can find he slope of this line by taking the difference in the y values and dividing this by the difference in the x values.
So we have (8.75 - 3.5) / (5 - 2) = 5.25/ 3
And using one of the points - I'll choose (2, 3.5) - and the slope, we can write the equation of the line....so we have.....
y - 3.5 = (5.25 / 3)(x - 2) simplify
y = (5.25x) / 3 - 10.5/3 + 3.5
y = (5.25x) / 3 - 3.5 + 3.5
y = (5.25x) / 3
So, after 3 years, we have
y = 5.25(3) / 3 = 5.25 ft tall
