Answer:
A
Step-by-step explanation:
1. For each a>0, [tex]a^0=1,[/tex] thus [tex]0.6 ^0=1[/tex] and
[tex]f(0)=20\cdot 0.6^0=20\cdot 1=20.[/tex]
Hence, the graph of the function passes through the point (0,20). This gives us that option B and C are extra.
2. At x=1
[tex]f(1)=20\cdot 0.6^1=20\cdot 0.6=12.[/tex]
The graph of the function passes through the point (1,12).
3. We have to choose option A or option D. In option D graph of the function passes through the point (1,16), in option A graph passes through the point (1,12), so option A is correct.
