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SAT Math 4.2 Algebra and Functions 199 Views
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Description:
SAT Math 4.2 Algebra and Functions
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…
Full Transcript
- 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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