Derrick is playing a carnival game. The cost for each turn is $1.50. If Derrick wins a turn, he gets $5.00 back, and if he loses, he gets nothing back. The probability of Derrick winning any one turn is 32%. Derrick only wants to play the game if he can expect to win money over many turns. Should Derrick play, and for what reason?

A) No, because on average, Derrick can expect to come out behind by $0.10 per turn.

B) No, because on average, Derrick can expect to come out behind by $0.58 per turn.

C) Yes, because on average, Derrick can expect to come out ahead by $0.10 per turn.

D) Yes, because on average, Derrick can expect to come out ahead by $0.42 per turn.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.