a Frog is at the bottom of a 21 foot well. The frog jumps up 4 feet, and then falls back 2 feet. How many jumps will it take for the frong to jump out of the well?

11 junps

The frog progresses 2 feet at each jump.

Be careful of the last jump. When the frog jumps up 4 feet, it will be at the top.

10 Jumps Thanks for all your help.

Yea, sry my bad. She's totally correct. By the 9th jump the frog is at 18 feet, 3 feet away. the 10th jump will allow it to free from the well.

To figure out how many jumps it will take for the frog to jump out of the well, we need to determine the distance covered by each jump and calculate the total number of jumps needed to reach a height greater than 21 feet.

1. Calculate the distance covered by each jump:
- The frog jumps up 4 feet.
- Then, the frog falls back 2 feet.
- Therefore, in every complete jump, the frog covers a net distance of 4 feet up - 2 feet down = 2 feet.

2. Calculate the total number of jumps required:
- The frog needs to cover a total distance of 21 feet to reach the top.
- Since each jump covers a net distance of 2 feet, divide 21 feet by 2 feet to get the total number of jumps.

21 feet / 2 feet = 10.5 jumps

Now, we have calculated that the frog needs 10.5 jumps to reach a height greater than 21 feet. However, it's not possible for the frog to do a partial jump, so we need to round up to the nearest whole number.

Therefore, it will take 11 jumps for the frog to jump out of the well.