Question

What is the rate of change for this set of ordered pairs ?

X | 0 | 1 | 2 | 3 | 4
y | 7 | 12 | 17 | 22 | 27
A)2
B)2.5
C) 5
D)4

Answer 1

Option C is correct.

Explanation:

The rate of change can be found by finding the slope of given ordered pairs.

y₂=12, y₁=7,x₂=1,x₁=0

rate of change = y₂-y₁/x₂-x₁

rate of change = 12-7/1-0

rate of change = 5/1 = 5

Now considering next two points,

y₂=17, y₁=7,x₂=2,x₁=1

rate of change = y₂-y₁/x₂-x₁

rate of change = 17-12/2-1

rate of change = 5/1 = 5

So, the rate of change for this set of ordered pairs is 5.

Option C is correct.