Tell whether the relationship should be represented by a continuous or discrete graph. explain. the height of a tree over time a. continuous; a tree grows gradually, not in steps, so this situation is continuous. b. continuous; a tree grows in steps, so this situation is continuous. c. discrete; a tree stops growing at a certain age, so this situation is discrete. d. discrete; a tree never stops growing, so this situation is discrete.

A. Continuous; a tree grows gradually, not in steps, so this situation is continuous.

Step-by-step explanation:

It is assumed here that the growth is in general terms, because most trees stops height growth after 150 years. A tree continue to grow gradually, adding new rings every year. This situation can be represented by a continuous graph because all points are connnected.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50