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Description:

Hugo is flying a helicopter and needs to descend to a heliport located at sea level. Once he begins his descent, the helicopter's altitude can be modeled by the equation above, where A is his altitude of his helicopter in meters and t is the number of seconds that have passed since he began his descent. According to the model, what does the number -2.3 represent?


Transcript

00:00

Yeah Whoa All right Estate maths from upper second in

00:05

Syria's five here Ah long story Clear space Hugo is

00:20

coming in for a landing Having a helicopter plopped down

00:23

on top of us does not sound like a good

00:25

time Yeah the equation that is given to US models

00:27

Hugo's altitude over time and slope intercept form Why equals

00:31

MX plus B in place of why we're given a

00:34

thie out student Hugo's helicopter in meters after a given

00:37

amount of time we have another variable in place of

00:40

acts That's he right there or the number of seconds

00:42

that have passed since Hugo began his descent Well the

00:45

slope is negative two point three and it is in

00:49

front of the amount of time that has passed so

00:52

big Hint there That's kind of the crux of the

00:54

issue they're testing you on slopes almost always refer to

00:57

a type of rate such as dollars per person and

01:00

dollars per time miles per hour shmoop ce per second

01:04

or something like that In this case it's meters per

01:07

second It's whatever is on the Y axis per whatever

01:11

is on the X axis Right rise How far up

01:14

on the Y axis over Run How far along on

01:17

the X axis Something like that to rate here That

01:20

means the amount about stewed loss since Hugo is going

01:23

down per second on the slope is negative which means

01:25

negative Two point three is Hugo's rate of descent in

01:28

meters per second So the answer is D we'll wire

01:31

The other answer choice is oh so wrong Well we

01:34

don't know the altitude of the heliport so can't be

01:36

a Yugo could be descending straight to the center of

01:39

the earth for all we know Since problem does not

01:41

tell us the minimum value of A we already know

01:43

that t rather than negative two point three represents the

01:46

amount of time Hugo has been descending So it ain't

01:49

B and then Hugo starting altitude Yeah see there is

01:52

the constant B from the equation of a line or

01:55

four thousand fifty nine meters in this case so that's

01:59

it The answer is D That's the rate of Hugo's 00:02:01.56 --> [endTime] de Centeon meters per second

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