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

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?

Elementary Algebra and Functions | Word Problems and Applications |

Mathematics and Statistics Assessment | Word Problems and Applications |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

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

She has a taste for caviar oysters on the half

shell and those strange gelatinous formations that look like one

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

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

star restaurant so she satisfies those cravings by taking herself

out to a fancy lunch once a month Well the

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

is depleting the original value of the account by one

hundred twenty bucks in gastronomic goodness every month Because the

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

constant rate Any situation with an initial value in a

constant rate can be modeled by a linear equation in

the form Yes your friend and mine Why equals mx

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

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

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

The initial value be is the six grand she started

with So the equation that represents the money in her

account Why After any number of months Acts is why

equals negative 1 twenty x plus six thousand Well why

represents the money remaining in the account And nikki wants

to know how many months she contrite herself before her

account is halfway to empty or a two three grand

So just substitute that three grand in there for why

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

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

then we can just sub So i got three thousand

equals negative one twenty x plus six thousand then subtract

six thousand from each side and we get three thousand

equals one twenty x and just divide both sides by

one twenty And there we go Twenty five is the

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

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