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SAT Math 4.2 Algebra and Functions 198 Views


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SAT Math 4.2 Algebra and Functions

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English Language

Transcript

00:02

Here’s your shmoop du jour, brought to you by decreasing terms.

00:06

No…that would be decreasing terns.

00:09

After the first term, x, each term is determined as half of the previous term plus 4.

00:17

What is the ratio of the fourth term to the first?

00:21

And here are the potential answers…

00:27

For this question, we’re asked to find the ratio of the fourth term to the first.

00:32

Well a ratio is just a relationship between two numbers…

00:38

So to find the ratio between the fourth term and the first, we know we should take the

00:42

value of the fourth term and divide it by the value of the first term…which is given

00:47

to us as x. Now all we have to do is find the value of

00:51

the fourth term. We’re told that after the first term, x,

00:54

each term is determined as half of the previous term plus 4.  

00:59

So the second term will be half of the first term, plus 4…or one-half x plus 4.

01:07

The third term will be half of the second term plus 4 or, simplified, one fourth x plus 6.

01:14

The fourth term will be half of the third term plus 4, or one eighth x plus 7.

01:21

So our ratio is one eighth x plus 7 all over x.

01:26

Change the fraction one-eighth into decimal form, which is 0.125…

01:32

and the correct answer is (C)… 0.125x plus 7 all over x.

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