You just got hired at a new job. They offer you 2 different payment options. You are allowed to choose either payment option as you start work each day.

OPTION 1: You will earn $2000 each day

OPTION 2: You will earn $1 the first day, $2 the second day, $4 the third day, $8 the fourth day and so on.

On which day should you swap to option 2 to earn the most money possible?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)