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 .

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 .

SmokeyBrown · Answer

The "bonus points" are calculated by adding 10 to the current points, p.
The percentage increase can be calculated by multiplying the current points, p, by 1.05, to represent a 5% increase.
Make sure that the 10 points are added first, and then the 5% increase is applied. Can you use this information to make a function representing the total score?