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.

Step-by-step 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,

$f(5)=24\times 5(2)^{5+1}\\\\f(5)=120(2)^6\\\\f(5)=120\times 64\\\\f(5)=7680$

Hence, Option 'D' is correct.