ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

SAT Math 6.5 Algebra and Functions 173 Views


Share It!


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).

Up Next

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

Related Videos

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...