Question

Which function shows a greater rate of change?

Function A
y (Output)
28
24
20
16
12
00
8
4
1 2 3 4 5
Function B
x (input)
y (output)
0
1
10 14
2
18
3
22
4
26
5
30

Answer 1

Explanation:

the rate of change (or slope for a line function) is the rate

y coordinate change / x coordinate change

for function A we see that x needs to change by 2 units, so that y changes by 1 unit.

that rate of change or slope is

1/2

for function B we see that when x changes by 1 unit, y changes by 4 units.

that rate of change or slope is

4/1 = 4

so, because 4 > 1/2, function B has the greater rate of change.