Question

PLEASE HELP !!!!!!!!!

A video game sets the points needed to reach the next level based on the function g(x) = 8(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) = 3x. How many points will a player need on the hardest setting of level 5?

ANSWERS;
A.15 points
B.512 points
C.527 points
D.7680 points

Answer 1

Answer: Hence, Option 'D' is correct.

Explanation:

Since we have given that

A video game sets the points needed to reach the next level based on the function is given by

`g(x)=8(2)^(x+1)`

and

The hardest setting promises to multiply the points needed in each level according to the function is given by

`h(x)=3x`

So, the number of points that a player will needed on the hardest setting is given by

`f(x)=g(x).h(x)\\\\f(x)=(8(2)^(x+1)(3x))\\\\f(x)=24x(2)^(x+1)`

We need to find the hardest setting of level 5:

So, it becomes,

`f(5)=24* 5(2)^(5+1)\\\\f(5)=120(2)^6\\\\f(5)=120* 64\\\\f(5)=7680`

Hence, Option 'D' is correct.