Question

Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total score, s, increases by 5% of the player’s current points. Jack currently has p points and has won 3 consecutive games. The function that represents a player’s points including the bonus points, b, is b(p) = . The function that gives the net points after the percentage increase in a player’s total points is s(p) = . Jack’s total score after winning the bonus points, given by the function (s ∘ b)(p), is . NextReset

Answer 1

The function can be described as

b(p)= player receives 10 bonus points 
b(p)= p+10

s(p)= increases 5% of the player’s current points 
s(p)= p*(100%+5%)= p*1.05

then  (s ∘ b)(p) would be
s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
(s ∘ b)(p)= 1.05p+10.5