Answer:
The correct option is C.
Step-by-step explanation:
The given functions are
[tex]g(x)=10(2)^{x-1}[/tex]
[tex]h(x)=2x[/tex]
It is given that the point needed for next level is defined by the function g(x) and hardest setting promises to multiply the points needed in each level according to the function h(x) .
The total points will a player need on the hardest setting of level 5 are
[tex]g(5)\times h(5)=10(2)^{5-1}\times 2(5)[/tex]
[tex]g(5)\times h(5)=10(2)^4\times 10[/tex]
[tex]g(5)\times h(5)=10(16)\times 10[/tex]
[tex]g(5)\times h(5)=160\times 10[/tex]
[tex]g(5)\times h(5)=1600[/tex]
Therefore the total points will a player need on the hardest setting of level 5 are 1600 and option C is correct.
