Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
...(3)
Divide equation (3) by equation (2).
Substitute b=0.5 in equation (2).
Substitute a=3 and b=0.5 in equation (1).
Therefore, the correct option is B.