A worm is climbing out of a 20 in. hole. The worm climbs 4 inches during each day and at night falls back 10% of the height the worm is above the hole. At the beginning of the fourth day, how far is the worm from the top of the hole?

Question

Mathematics

Titan

11 July, 19:07

A worm is climbing out of a 20 in. hole. The worm climbs 4 inches during each day and at night falls back 10% of the height the worm is above the hole. At the beginning of the fourth day, how far is the worm from the top of the hole?

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Answers (1)

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Madeline Morales · Answer 1

First day

ok so 4 inches up means 4 iches above the bottom, 10% of 4 is 0.4, and 4-0.4=3.6

second day

3.6+4=7.6, now 10% of that is 0.76, 7.6-0.76=6.84

third day

6.84+4=10.84, 10% of 10.84 is 1.084, 10.84-1.084=9.756

fourth day, at begining is at the end of third

worm is 9.756 in above the bottom of hole

20-heightup=height from top

20-9.756=10.224

answer is 10.224 inches from top