Question

Determine the constant rate of change for each table.
1. Age (yr) Height (in.)

Answer 1

9514 1404 393

Answer:

1. 2
2. 3/4

Explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

__

Table 2

(3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h