Mee! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes to cyclist to complete a bicycle tour. which rational function best models the data in the table?

By definition it is known that speed equals the distance between time.
 Therefore, according to the definition, the last two options are the possible answers:
 Let's evaluate the third option:
 y = (3/2) * (1 / x)
 x = 12
 y = (3/2) * (1/12) = 3/24 = 1/8
 The table is not fulfilled
 Let's evaluate the fourth option:
 y = (96 / x)
 x = 12
 y = (96/12) = 8
 Yes, the table is met.
 
 y = (96 / x)