Cecelia went on a hiking trip. The first day she walked 27 kilometers. Each day since, she walked (2)/(3) of what she walked the day before. What is the total distance Cecelia has traveled by the end of the 5^("th ") day? Round your final answer to the nearest kilometer. km

Calculate Day 2 Distance: Calculate the distance walked on the second day. Cecelia walked 27 kilometers on the first day. On the second day, she walked 2/3 of the distance she walked on the first day. Distance on the second day = (2/3) * 27 km = 18 kmCalculate Day 3 Distance: Calculate the distance walked on the third day. On the third day, she walked 2/3 of the distance she walked on the second day. Distance on the third day = (2/3) * 18 km = 12 kmCalculate Day 4 Distance: Calculate the distance walked on the fourth day. On the fourth day, she walked 2/3 of the distance she walked on the third day. Distance on the fourth day = (2/3) * 12 km = 8 kmCalculate Day 5 Distance: Calculate the distance walked on the fifth day. On the fifth day, she walked 2/3 of the distance she walked on the fourth day. Distance on the fifth day = (2/3) * 8 km = 5.333... km Since we need to round to the nearest kilometer, this becomes 5 km.Calculate Total Distance: Calculate the total distance walked over the five days. Total distance = Distance on the first day + Distance on the second day + Distance on the third day + Distance on the fourth day + Distance on the fifth day Total distance = 27 km + 18 km + 12 km + 8 km + 5 km = 70 km

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Cecelia went on a hiking trip. The first day she walked 27 kilometers. Each day since, she walked
(2)/(3) of what she walked the day before.
What is the total distance Cecelia has traveled by the end of the
5^("th ") day?
Round your final answer to the nearest kilometer.

km

Cecelia went on a hiking trip. The first day she walked $27$ kilometers. Each day since, she walked $\frac{2}{3}$ of what she walked the day before. $\newline$ What is the total distance Cecelia has traveled by the end of the $5^{\text {th }}$ day? $\newline$ Round your final answer to the nearest kilometer. $\newline$ $\mathrm{km}$

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Q. Cecelia went on a hiking trip. The first day she walked

27

kilometers. Each day since, she walked

\frac{2}{3}

of what she walked the day before.

\newline

What is the total distance Cecelia has traveled by the end of the

5^{\text {th }}

day?

\newline

Round your final answer to the nearest kilometer.

\newline

\mathrm{km}

Calculate Day $2$ Distance: Calculate the distance walked on the second day. $\newline$ Cecelia walked $27$ kilometers on the first day. On the second day, she walked $\frac{2}{3}$ of the distance she walked on the first day. $\newline$ Distance on the second day = $\left(\frac{2}{3}\right) \times 27 \, \text{km}$ $\newline$ = $18 \, \text{km}$
Calculate Day $3$ Distance: Calculate the distance walked on the third day. $\newline$ On the third day, she walked $\frac{2}{3}$ of the distance she walked on the second day. $\newline$ Distance on the third day = $\left(\frac{2}{3}\right) \times 18\,\text{km}$ $\newline$ = $12\,\text{km}$
Calculate Day $4$ Distance: Calculate the distance walked on the fourth day. $\newline$ On the fourth day, she walked $\frac{2}{3}$ of the distance she walked on the third day. $\newline$ Distance on the fourth day = $\left(\frac{2}{3}\right) \times 12\,\text{km}$ $\newline$ = $8\,\text{km}$
Calculate Day $5$ Distance: Calculate the distance walked on the fifth day. $\newline$ On the fifth day, she walked $\frac{2}{3}$ of the distance she walked on the fourth day. $\newline$ Distance on the fifth day = $\left(\frac{2}{3}\right) \times 8\,\text{km}$ $\newline$ = $5.333\ldots\,\text{km}$ $\newline$ Since we need to round to the nearest kilometer, this becomes $5\,\text{km}$ .
Calculate Total Distance: Calculate the total distance walked over the five days. $\newline$ Total distance $= \text{Distance on the first day} + \text{Distance on the second day} + \text{Distance on the third day} + \text{Distance on the fourth day} + \text{Distance on the fifth day}$ $\newline$ Total distance $= 27 \, \text{km} + 18 \, \text{km} + 12 \, \text{km} + 8 \, \text{km} + 5 \, \text{km}$ $\newline$ $= 70 \, \text{km}$