Question

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?

Answer 1

For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
             g(x)  = 8(2)(x) + 1
We substitute the x of the function with 5 since we are in level 5.
             g(5) = 8(2)(5) + 1 = 81

Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
              h(x) = 3(81) = 243

Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.