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SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.
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SAT Math 2.2 Numbers and Operations 215 Views
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Description:
SAT Math 2.2 Numbers and Operations. According to the information given, how many times faster is Car A than Car D?
Transcript
- 00:02
Time for your daily dose of Shmoop. So open wide.
- 00:06
According to the information given below, how many times faster is Car A than Car D?
- 00:11
Car A is twice as fast as B.
- 00:14
Car B is three times as fast as C.
- 00:16
Car C is twice as fast as D.
Full Transcript
- 00:18
And Car D is half as fast as C.
- 00:21
And here are the potential answers:
- 00:25
So this is a bake-your-own-algebraic-equation kind of problem.
- 00:29
It says that car A is twice as fast as car B… so we can write A equals 2B…
- 00:33
Car B is three times as fast as Car C so B = 3C…
- 00:37
Car C is twice as fast as Car D so C = 2D…
- 00:42
Car D is half as fast as Car C so D = 1/2C…
- 00:46
…and Cars 2 is half as good as The Incredibles.
- 00:51
Okay, now we just have to simplify.
- 00:53
Let's just connect everything that we know B equals…
- 00:56
B = 3C = 3(2D) = 6D.
- 01:02
It takes 6 D’s to make one B.
- 01:04
But the question is asking us to compare A with D…
- 01:06
so we somehow need to map B onto A.
- 01:09
We know that it takes 2 B’s to make an A. So if it takes 6 D's to make one B, then it
- 01:14
should take 2 times 6 D's to make an A… or 12 D's.
- 01:18
Answer E.
- 01:19
So car A is like a Ferrari and car D is like your portly grandpa’s lawnmower.
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