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TSI Math: Finding a Line that Represents Nikki's Bank Account 1 Views


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Description:

Nikki has $6000 in the bank, and she plans on spending $120 a month. After how many months will half the money remain in the account if no deposits are made?


Transcript

00:02

All right master members here we go Another word problem

00:04

for you Nicky has six grand in the bank and

00:06

she plans on spending a hundred twenty bucks a month

00:08

after How many months will have the money remain in

00:10

the account if no more deposits are made Well nicky

00:19

has a secret she's a closet goma on a budget

00:22

She has a taste for caviar oysters on the half

00:24

shell and those strange gelatinous formations that look like one

00:28

thing but taste like another But such luxury doesn't come

00:31

cheap She can't afford dinner for two at a michelin

00:34

star restaurant so she satisfies those cravings by taking herself

00:37

out to a fancy lunch once a month Well the

00:39

initial value of nikki's foodie account six grand and she

00:42

is depleting the original value of the account by one

00:44

hundred twenty bucks in gastronomic goodness every month Because the

00:47

same thing happens over and over and over it's a

00:48

constant rate Any situation with an initial value in a

00:52

constant rate can be modeled by a linear equation in

00:55

the form Yes your friend and mine Why equals mx

00:58

plus b emma's a slope or the rate of change

01:00

In this case it's Ah negative one Twenty Not positive

01:03

one twenty Because nicky's taking money out of the account

01:06

The initial value be is the six grand she started

01:09

with So the equation that represents the money in her

01:11

account Why After any number of months Acts is why

01:14

equals negative 1 twenty x plus six thousand Well why

01:17

represents the money remaining in the account And nikki wants

01:20

to know how many months she contrite herself before her

01:23

account is halfway to empty or a two three grand

01:26

So just substitute that three grand in there for why

01:29

and solve for x we'll why equals negative one twenty

01:31

x plus six grand right that's our core equation and

01:34

then we can just sub So i got three thousand

01:36

equals negative one twenty x plus six thousand then subtract

01:40

six thousand from each side and we get three thousand

01:43

equals one twenty x and just divide both sides by

01:46

one twenty And there we go Twenty five is the

01:49

right answer It's After twenty five months nora just over

01:52

two years of secretive dining nikki will have half the 00:01:55.446 --> [endTime] money she started with Yeah what a waste No

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