Answer:
My Sky Airline gives more points, 33,350 points.
Explanation:
Flyaway Airline
5 points for every mile flown plus a bonus of 20 points for every trip over 500 miles.
My Sky Airline
7 points for every mile flown plus a bonus of 30 points for each trip.
The itinerary has a total of 4,730 miles and 8 trips.
So, Flyaway Airline would give

There are 5 tripes over 500 miles, so

Therefore, Flyaway Airline gives a total of 23,750 points.
On the other hand, My Sky Airline would give

There are 8 total trips, so

Therefore, My Sky Airline would give a total of 33,350 points.
So, with that itinerary, My Sky Airline gives more points, 33,350 points.