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PSAT 1.35 Math Diagnostic 178 Views


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PSAT 1.35 Math Diagnostic. Which of the following best models total spending on education?


Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:05

Brought to you by elementary education it's where mr mrs

00:09

watson took their son john on his first day at

00:11

kindergarten That kid with no sherlock Okay check out this

00:16

bar graph The graph above shows total us expenditures for

00:20

elementary and secondary education from nineteen ninety two thousand five

00:24

if a nineteen ninety x equals zero Which of the

00:27

following best models total spending on education and billions of

00:30

dollars at time acts with acts measured in years and

00:34

here's potential answers All right modeling school Well maybe if

00:39

the u s had shelled out a tad more bucks

00:42

we could have had some myth You're looking bar graphs

00:45

like with three d lars special in fact made pyrotechnic

00:49

There you go that's more like it Alright while skimming

00:51

our answer choices It should be pretty clear that we're

00:54

looking to take the information we're given and find a

00:56

way to express it in slope intercept form every answer

01:00

choices in the form why equals mx plus b so

01:03

well let's just start there We're told that in nineteen

01:06

ninety x equals zero and the bar graph shows that

01:09

in that same year federal spending was two hundred forty

01:11

eight point nine billion which will be our why intercept

01:15

groovy on ly We still need slope Where Oh where

01:19

has our slow god Right If we were a slow

01:22

where would we be Well what we need to do

01:24

is take two points and use them to find the

01:26

average rate of change We should take the last point

01:29

In the case of our graph last bar and call

01:31

that fourteen five thirty six by fourteen wealth The first

01:35

bar zero which we've already established Well then this would

01:38

be one to revive a lot Lot fourteen makes sense

01:42

Then we take the first bar which translates point zero

01:45

to forty eight point nine to track the y coordinates

01:48

from one another subject tex coordinates from one another and

01:52

then divide the difference And why coordinates by the difference

01:55

in x co ordinates like so so five Thirty six

01:58

minus two Forty eight point nine to eighty seven point

02:00

one while fourteen minus zero is sixteen Four seven oh

02:05

it no it's fourteen two eighty seven divided by fourteen

02:08

Twenty point five and that's our slow So now we

02:11

can plug in everything we know to get y equals

02:13

Twenty point Five Acts plus 248 point nine And well

02:18

that looks an awful lot like option d If you

02:20

came up with any other answer well we'd have to

02:22

suspect that Something's afoot Very good watson That boy's got 00:02:27.388 --> [endTime] a long way to go

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