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SAT Math 6.5 Algebra and Functions 173 Views
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Description:
SAT Math 6.5 Algebra and Functions
Transcript
- 00:02
Here's your shmoop du jour: brought to you by Grasshoppers. The insect, not the cookie.
- 00:08
Although they both have a pretty nice crunch.
- 00:11
A grasshopper jumps 1 foot to the right, then 1/2 the way back to the left.
- 00:16
He then jumps another foot to the right, then 1/2 the way back.
- 00:19
How far from his starting position will he be after 10 jumps?
Full Transcript
- 00:24
Round to the nearest hundredth of a foot.
- 00:26
And here are the potential answers...
- 00:31
Okay, so... he jumps 1 foot to the right, and then jumps halfway to his starting point.
- 00:37
He ends up .5 feet away from his starting point after 2 jumps.
- 00:41
He needs to keep track of his distance after 10 jumps, so we'll use a chart.
- 00:46
So far, here is what we know:
- 00:47
On his third jump, our insect friend will hop to the right again,
- 00:51
and he'll increase his distance by 1 foot.
- 00:54
Then, he'll jump backwards half the distance, and be .75 feet away after his 4th jump.
- 01:00
We continue with his 5th and 6th jump, where he will jump to
- 01:03
1.75 feet away, and return to be .875 feet away.
- 01:08
On his 7th jump, he'll be 1.875 feet away, and half his distance to
- 01:14
.9375 feet on his eighth. Finally, his last two jumps.
- 01:18
He'll be 1.9375 feet away on his 9th jump,
- 01:22
and .96875 feet away on his 10th and final jump.
- 01:28
The question asks for the answer rounded to the hundredths place,
- 01:31
so we round it off to .97 feet.
- 01:34
So our answer is (A).
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