ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


CAHSEE Math Videos 210 videos

CAHSEE Math 3.4 Statistics, Data, and Probability I
363 Views

Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

CAHSEE Math 1.1 Statistics, Data, and Probability I
406 Views

Statistics, Data, and Probability I: Drill Set 1, Problem 1. What is the mean yearly salary?

See All

CAHSEE Math 2.2 Statistics, Data, and Probability I 182 Views


Share It!


Description:

Statistics, Data, and Probability I: Drill Set 2, Problem 2. If this trend continues, what will be the price in week 7?

Language:
English Language

Transcript

00:04

Here's a boring, unshmoopy question you'll find on an exam somewhere in your life...

00:09

The table below shows the increase in price per share of a certain company's stock over

00:13

a period of 4 weeks. If this trend continues, what will be the price in week 7?

00:18

And here are the potential answers:

00:26

So ... what's this question really asking other than, "can you read a table?"

00:31

Uh, no... this table. Right. Whenever we are asked to make predictions,

00:35

it is likely that we are being asked to find a PATTERN.

00:39

And in this case, they give us the pattern -- it's that the share price increased each week.

00:45

So our first thought, especially for you future stock brokers or investors out there,

00:49

should be "by how much did it increase?"

00:51

That is, the problem GIVES us that the stock

00:54

INCREASED. So let's first just figure out what it increased in week one.

01:01

We take $14.40 and subtract $12.15. We get two bucks and two bits.

01:07

Or... a fancy way of saying... two bucks and a quarter.

01:10

Let's do it for week 2 now and we get $16.65

01:14

minus $14.40 and yeah -- that's $2.25. Great.

01:18

Since the stock increased by the SAME amount, we know we have a CONSTANT trend.

01:24

If the stock had gone to any other number,

01:26

the answer would have been much harder to figure out.

01:28

But the question is asking us to carry this pattern out to the 7th iteration.

01:33

We are already at week 4 with a stock trading at $18.90 a share.

01:37

Now we get 3 more weeks of wealth creation.

01:40

We can spend some of that dough on Shmoop you know!

01:42

Always a wonderful gift for the little brother....

01:46

We can get there in 2 ways, the easiest of which is to just multiply $2.25 by 3...

01:52

...because there are 3 weeks to go from week 4 to week 7... and we get $6.75.

01:57

We'd add that to the last trade of $18.90 and get $25.65.

02:04

Yep, it's there on the answer choice menu as C.

02:07

If you are allergic to multiplication you could have just iterated 3 times and had:

02:11

Week 5... $18.90 + $2.25 Week 6... $21.15 + $2.25

02:17

And Week 7... $23.40 + $2.25 gets you $25.65

02:22

Either way, you arrive at the promised land of high investment returns, wealth, luxury...

02:27

...and the answer being C.

Related Videos

CAHSEE Math 5.3 Algebra and Functions
2033 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

SAT Math 6.1 Geometry and Measurement
3974 Views

SAT Math 6.1 Geometry and Measurement

CAHSEE Math 3.4 Statistics, Data, and Probability I
363 Views

Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?

CAHSEE Math 3.2 Statistics, Data, and Probability II
224 Views

Statistics, Data, and Probability II Drill 3 Problem 2. Which two sports together make up for the preferences of more than half of all those w...

CAHSEE Math 3.3 Statistics, Data, and Probability II
198 Views

Statistics, Data, and Probability II Drill 3 Problem 3. One hundred twenty of those who were asked preferred what sport?