5.2 (Part 2) – Applications of y = mx+b
1. A biologist measured the diameter of a certain tree for 10 years and came up with the formula:
D= 2t + 80
to find the diameter of the tree, D, measured in cm over the time, t, years.
a) State the slope in units. _____________
b) What does the slope represent? ____________________
c) What is the diameter of the tree when the biologist starts to keep track of the measurements?
_______________.
d) State the y-intercepts with units. _____________________________.
e) What does the y-intercept represent in this application? ____________________________.
f)
Sketch a graph of this equation. Label each axis.
g) Use the equation to determine the diameter of the tree after 8 years.
h) Use the equation to determine wh3en the tree will have a diameter of 92 cm.