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Numbers and Operations Videos 45 videos

SAT Math 1.3 Numbers and Operations
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SAT Math 1.3 Numbers and Operations. x and y must be which of the following?

SAT Math 2.4 Numbers and Operations
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SAT Math 2.4 Numbers and Operations

SAT Math 3.6 Numbers and Operations
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SAT Math 3.6 Numbers and Operations

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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

Language:
English Language

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?

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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