The graph below shows the height through which an elevator travels, y, in x seconds:

what is the rate of change for the relationship represented in the graph?

a.
b.
c. 14
d. 15

rate of change = 15 (answer D)

Step-by-step explanation:

Notice that the graph that represents the relationship is a straight line. They also give you specific points on the plane that one can use for finding the answer to the requested rate of change.

The actual rate of change is the quotient of how much the function "rises" vertically for a given horizontal "run."

Rate of Change =

In the attached image I have depicted in red the "rise" of the graph from one of the given points to the next. In green you see depicted what the associated horizontal "run" is.

Notice that the vertical "rise" is from a y-value of 30 to a y-value of 45, giving a net of 15 units of "change".

Notice also, that such rise corresponds to a horizontal change from the value 2 to the value 3, This represents a "run" or horizontal change of one (1) unit.

Finally, we can then write the rate of change for this relationship to be:

Rate of Change =

Step-by-step explanation:

There are several ways which we can use dilations as listed below.

In architecture. It is normal for architects to make a prototype of their design or building before it is been built. In order to make the building prototype, they can be able to dilate the scale and measurements.

In crime and and police investigation. Police and detectives dilate photos to see evidence which details are smaller.

In the doctor's office. The doctors use dilation for eye examination so that the eye doctor will be able to view the patient's eye better. After some time, it will gradually reduce in size and return back to normal.

In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.