Question

Find the constant rate of change and interpret its meaning

Answer 1

The constat rate is given by the slope of the line. By definition, the slope of the line is defined as follows:

`m\text{ = }(Y2-Y1)/(X2-X1)`

Where (X1,Y1) and (X2,Y2) are given points on the line. In our case, for example, we can take the points:

(X2,Y2) =(4,50)

(X1,Y1)=(2,70)

Replacing the previous data in the equation of the slope we obtain:

`rate=m\text{ = }(Y2-Y1)/(X2-X1)=(50-70)/(4-2)=(-20)/(2)\text{ =-10 ft/s}`

Then, we can conclude that the constant rate is

-10 ft /s : a descent of 10 ft per second.