This scenario can be described in terms of joint variation.
When Amir considers buying tickets with just his brother, they will split the lottery winnings equally, meaning that the amount each person receives is directly related to the number of people involved. If they only had two people (Amir and his brother), each would get $60 million if they win the $120 million lottery.
On the other hand, if Amir decides to buy tickets with his brother and his brother's four friends (a total of six people), they would each get $20 million ($120 million divided by 6).
To sum up, the amount of money each person would get varies jointly with the total number of people involved in the lottery ticket purchase. Therefore, this scenario involves joint variation, as the total amount of money is distributed among a varying number of participants.