The slope of a graph can represent many things. In this lesson you concentrated
on situations where the rate of change of a line (the slope) represented speed.
However, the rate of change can represent many other things besides speed,
depending on the situation.
a. For each graph below:
●
Height of a
Tree (feet)
b.
Explain what real-world quantities the slope and y-intercept
represent.
Find the rate of change for each situation.
ii.
(5.14)
Years since
planting
Bank Balance (5)
2.150)
(4,130)
iii.
Time (months)
Distance (miles)
(2,44)
Gas (gallons)
In each of the situations, would it make sense to draw a different line with
a negative y-intercept?