Question

Solve by using the strategy Work Backward. A beetle needs to climb out of a crater that is 800 cm deep. It advances 120 cm each day, but is slips back

Sampling distributions
ANSWERED
asked 2021-05-18
Solve by using the strategy Work Backward. A beetle needs to climb out of a crater that is 800 cm deep. It advances 120 cm each day, but is slips back 90 cm while resting each night. How many days will it take before this beetle successfully climbs out of the crater?

Expert Answers (1)

2021-05-19

At the end of each day, the beetle climbs a total of \(120 - 90 = 30 cm\).
Dividing 800 em by 30 cm, we obtain 26.66... which rounds down to 26 days. On the night of the 26th day, the beetle would have climed a total of \(26(30) = 780 cm\). This means that on the 27th day, the beetle can climb out of the crater since it can climb 120 cm and it only needs 20 cm more.

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