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CAHSEE Math 5.4 Algebra and Functions 181 Views


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Description:

Algebra and Functions: Drill Set 5, Problem 4. What would be the total cost if a person buys 15 wigs at this store?

Language:
English Language

Transcript

00:02

Alright shmoopy question of the day, comin' at ya...

00:06

A wig store is having a sale on genuine, 100% rat-fur wigs, where the first wig purchased costs $10.

00:13

...the total cost in relation to the number of wigs bought is given by the plot below.

00:19

What would be the total cost if a person buys 15 rat wigs at this store?

00:24

And here are the potential answers...

00:25

Try them yourself first before you look forward.

00:30

So... this question is asking us to decipher a graph and recognize a pattern --

00:34

then throws a few curveballs at our heads.

00:37

Which hopefully won't knock the wigs off our skulls.

00:39

Let's think aloud a bit -- the FIRST wig costs 10 bucks.

00:43

Note the 2 here at the bottom of the graph -- that's the second wig -- the TOTAL

00:48

cost of BOTH wigs is 15 bucks.

00:51

So if the first was 10 then the second must have cost 5 bucks more.

00:56

Look at the 3 -- it's telling us that 3 wigs cost 20 bucks and if we look forward,

01:01

a pattern comes clear here...

01:03

...the first wig was 10 bucks but each subsequent wig is 5 bucks.

01:08

So if we have 15 wigs in TOTAL that we are buying, 14 of 'em cost us

01:13

5 bucks each or a total of 70 dollars...

01:16

...and then we have to add that first expensive one for 10 bucks

01:20

so that the total for ALL of 'em costs 80 bucks.

01:23

And note in the answer set there are all kinds of answers that are... close.

01:28

The RIGHT answer, though, is 80 or C.

01:31

Now we can all look dashing in our affordable new rat-fur wigs.

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