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Description:

PSAT 1.5 Math Narrative Walkthrough

Language:
English Language

Transcript

00:00

Thank you We sneak in then here's your shmoop du

00:05

jour brought to you by toenail clippers if they seem

00:08

popular it's probably just because they spend so much time

00:10

hanging out with fun guy useless things ink is trying

00:14

to maximize profit of its new diesel powered toenail clippers

00:18

Their research says that sails very linearly with price The

00:21

number of sales equals three thousand minus forty acts where

00:25

x is the price it cost twenty five bucks to

00:27

make each clipper and their profit equals the money from

00:30

sales of clippers minus the money it cost to make

00:32

the clippers which formula below is the right one toe

00:36

help Useless things inc maximise their profits And here the

00:40

potential answers Are there the equation All right well first

00:43

of all we think the founder of the company picked

00:45

an awful name They're really selling themselves short with the

00:49

whole useless things angle diesel power Toenail clippers would be

00:52

totally useful if they not met our uncle irwin Really

00:56

Come on people All right To find out how much

00:59

money they got from sales before we take the cost

01:01

of the clippers into account we need to know how

01:03

Many clippers were sold so that three thousand minus forty

01:06

ex clippers sold times the price of each clipper which

01:10

we're told his ex ex dollars from that will have

01:14

to subtract the cost of the clippers Since these things

01:16

don't grow on trees for the cost we can take

01:19

the same expression we used to represent the number of

01:22

clippers three thousand minus forty x times the cost of

01:26

each clipper which we're told is twenty five bucks All

01:29

right all together now the profit will be the quantity

01:31

three thousand minus forty x time's acts minus the quantity

01:36

three thousand minus forty x times twenty five now it

01:40

could just multiply the terms and we get three thousand

01:43

x minus forty x squared minus seventy five thousand plus

01:45

a thousand x wow this is some really big numbers

01:48

certainly bigger numbers than these clippers put up Okay let's

01:52

combine terms and rearrange all this stuff into a more

01:55

sensible order Negative forty x squared plus four thousand x

01:59

minus seventy five thous is it much better and a

02:02

perfect match for option a which is our final answer

02:04

We're feeling awfully good about ourselves after coming up with

02:07

the correct solution In fact we're going to reward ourselves

02:10

by buying a new pair of stainless steel pants It's 00:02:14.33 --> [endTime] a one of useless things Biggest sellers

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