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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
Full Transcript
- 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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