ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

PSAT 1.22 Math Diagnostic 175 Views


Share It!


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

Up Next

PSAT 1.1 Reading Diagnostic
1006 Views

PSAT 1.1 Reading Diagnostic. The main purpose of the first two paragraphs is to...what?

Related Videos

PSAT 2.2 Reading Diagnostic
379 Views

PSAT 2.2 Reading Diagnostic. What is the main rhetorical effect of this phrase in the second paragraph?

PSAT 1.3 Writing Diagnostic
282 Views

PSAT 1.3 Writing Diagnostic. To make the paragraph most logical, sentence 2 in the second paragraph should be placed...where?

PSAT 1.4 Writing Diagnostic
239 Views

PSAT 1.4 Writing Diagnostic. Which choice most effectively combines the two sentences in the underlined portion?

PSAT 1.5 Writing Diagnostic
239 Views

PSAT 1.5 Writing Diagnostic. How should the underlined portion be changed in the passage, if at all?