The correct option is
A Function A
Equation of Function A is y = 4x + 2.5
Let's calculate its rate of change.
At x = 1, y = 4×1+2.5=6.5
At x = 2, y = 4×2+2.5=10.5
Rate of change of function A = change in ychange in x
=10.5 − 6.52 − 1
=4
Let's calculate the rate of change of function B.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1357158/original_Screenshot_2021-09-27_145551.png)
Writing the above data in the pair form, we get:
(0, 5), (1,10) and (2,15)
Let us choose any two points, say (0,5) and (1,10)
Rate of change of function B = change in ychange in x
=10 − 51 − 0
=5
Therefore, function A has the lesser rate of change.