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PSAT 1.37 Math Diagnostic. Which of the following forms of the function f(x) would best reveal the number of employees that should be hired to maxi...
PSAT 1.22 Math Diagnostic 175 Views
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Description:
PSAT 1.22 Math Diagnostic. Which of the following functions f represents the total cost in dollars for a stay of x nights?
More Video DetailsTranscript
- 00:00
Thank you We sneak And here's your smoke Do sure
- 00:05
Brought to you by hotel fees Yes you did Just
- 00:08
spend eight dollars on an almond joy Jasmine is planning
- 00:13
a vacation for her parents hotel she's book cost one
- 00:16
hundred ten bucks a night plus hotel tax of seven
Full Transcript
- 00:18
point five percent It also charges a flat fee of
- 00:21
thirty five bucks for parking also subject in seven point
- 00:24
five percent tax which of the following functions represents the
- 00:27
total cost in dollars for a stay of ex nights
- 00:30
and hear the national anthem next All right where to
- 00:35
the wise if you're ever looking into staying at a
- 00:36
hotel and they list some of the charges as x
- 00:39
or why maybe see if there's a motel six or
- 00:42
a marriott courtyard in the area Otherwise we have a
- 00:44
feeling you're about to get home All right so what
- 00:47
do we have here Well we're using x to represent
- 00:50
the length of jasmine stay in days and we know
- 00:52
that it's one hundred ten bucks per night plus a
- 00:54
seven point five percent tax So for starters we should
- 00:57
figure out how much it costs for a single night's
- 01:00
stay well Seven point five percent could be rewritten in
- 01:03
decimal formas point seven five let's Multiply that by hundred
- 01:06
ten and we get eight dollars and twenty five cents
- 01:09
Remember that's on top of the base price So we
- 01:11
have to add it back to one hundred ten and
- 01:14
looks like it'll cost jasmine one hundred eighteen dollars Twenty
- 01:17
five cents to stay in the hotel each night We
- 01:20
then have to multiply that by the number of nights
- 01:22
So we get one hundred eighteen point two five x
- 01:25
Well that only shows up in options b and c
- 01:27
So it looks like we can kick the other two
- 01:29
posters to the curb Alright Next It says there's A
- 01:32
thirty five dollars flat fee for parking that's Also subject
- 01:35
to the seven point five percent tax How rump Some
- 01:38
flat feet Okay so let's do the same thing with
- 01:41
thirty five bucks that we did with one hundred ten
- 01:43
thirty five times point seven five two point sixty five
- 01:47
added to the thirty five Thirty seven point six two
- 01:49
five Which means that option c f of x equals
- 01:52
a hundred eighteen point two five x plus thirty seven
- 01:54
point sixty five Gets it Exactly right It's like jasmine
- 01:58
just found out that there's also a five dollars per
- 02:00
used bath towel charge You know you Just took a 00:02:03.86 --> [endTime] shower Jasmine Keep it clean
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