MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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[tex]g(x)=8(2)^{x+1}[/tex]and The hardest setting promises to multiply the points needed in each level according to the function is given by[tex]h(x)=3x[/tex]So, the number of points that a player will needed on the hardest setting is given by[tex]f(x)=g(x).h(x)\\\\f(x)=(8(2)^{x+1}(3x))\\\\f(x)=24x(2)^{x+1}[/tex]We need to find the hardest setting of level 5:So, it becomes,[tex]f(5)=24\times 5(2)^{5+1}\\\\f(5)=120(2)^6\\\\f(5)=120\times 64\\\\f(5)=7680[/tex]Hence, Option 'D' is correct.