Susan has a utility u(w) over wealth and she is risk averse

i. why is risk aversion the same as diminishing marginal utility over wealth. Explain with words or a diagram or a graph.

ii. Susan has an initial wealth w0 and has two choices. Her first choice is having a 50% chance of winning a $100 prize. The second choice is having a 25% chance of winning $200 prize. Both of these choices increase her expected wealth by $50. Which option should she choose or explain why there isn't enough information given.

(could use the good wealth EU diagram or write out the EU1-EUh and think about what we know about u(w0-100)-u(w0) vs u(w0+200) - u(w0+100)