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Math Diagnostic Videos 40 videos

PSAT 1.9 Math Diagnostic
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PSAT 1.9 Math Diagnostic. What is the maximum size widescreen TV Abby can purchase?

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PSAT 1.38 Math Diagnostic. What is f(g(x))?

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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?


Transcript

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

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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