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

Answer 1

Explanation:

The function that represents a player’s points including the bonus points, b, is b(p) = p + 10

The function that gives the net points after the percentage increase in a player’s total points is s(p) = 1.05p

Jack’s total score after winning the bonus points, given by the function (s ∘ b)(p), is 1.05p+10.5

Answer 2

s(p) = p*1.05 is the increase in s for the 5%.

b(p) = s(p) + b where b is 10 is his new score after winning the 3 games