Answer:
Option A.
Step-by-step explanation:
Set A.
x -1 0 1 2 3
y 50 75 100 125 150
Difference in each successive term of x = 1 - 0 = 1
Similarly difference in successive term of y = 75 - 25 = 50
So there is a common difference of 50 in each successive term of y.
We conclude that set A is a linear function.
Set B
x -1 0 1 2 3
y 0.60 3 15 75 375
With a continuous increase of x there is a common ratio in successive terms
of y.
Common Ratio = [tex]\frac{3}{0.6}=\frac{15}{3}=5[/tex]
Therefore, this set represents an exponential function.
Since rate of increase in values of exponential function is faster than a linear function, values of set B is increasing faster.
Therefore, Option A is the correct option.
