Answered

A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current level. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 2x. How many points will a player need on the hardest setting of level 5?

A10

B)160

C)1600

D)16000

Verified Answer :

studd

I'm pretty sure C , but not 100%

Answer:

The correct option is C.

Step-by-step explanation:

The given functions are

\(g(x)=10(2)^{x-1}\)

\(h(x)=2x\)

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

\(g(5)\times h(5)=10(2)^{5-1}\times 2(5)\)

\(g(5)\times h(5)=10(2)^4\times 10\)

\(g(5)\times h(5)=10(16)\times 10\)

\(g(5)\times h(5)=160\times 10\)

\(g(5)\times h(5)=1600\)

Therefore the total points will a player need on the hardest setting of level 5 are 1600 and option C is correct.