Answer: 1.5
Step-by-step explanation:
In the given picture we have a table :-
x y
1 4.5
2 6.75
3 10.125
4 15.1875
We know that exponential function is a geometric progression,
Thus for exponential function the multiplicative rate of change
[tex]=\frac{\text{value of y at x=2}}{\text{value of y at x=1}}=\frac{6.75}{4.5}=1.5[/tex]
Similarly we can check
[tex]=\frac{\text{value of y at x=3}}{\text{value of y at x=2}}=1.5[/tex]
[tex]=\frac{\text{value of y at x=4}}{\text{value of y at x=3}}=1.5[/tex]
Therefore, the multiplicative rate of exponential function =1.5
