Final answer:
To find the total distance Cecelia has traveled by the end of the 5th day, we add up the distances she walked each day. On the first day, she walked 27 kilometers. Each subsequent day, she walked 2/3 of what she walked the day before. The total distance she traveled is approximately 76.43 kilometers.
Step-by-step explanation:
To find the total distance Cecelia has traveled by the end of the 5th day, we need to find the distance she walked each day and then sum them up. On the first day, she walked 27 kilometers. Each subsequent day, she walked 2/3 of what she walked the day before. Therefore, the distances she walked each day are: 27 km, 2/3 * 27 km, (2/3)^2 * 27 km, (2/3)^3 * 27 km, (2/3)^4 * 27 km. To find the total distance, we add up all these distances:
Total distance = 27 km + 2/3 * 27 km + (2/3)^2 * 27 km + (2/3)^3 * 27 km + (2/3)^4 * 27 km
Calculating the sum, we get a total distance of approximately 76.43 kilometers.