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SAT Math: Recognizing the Slope in a Given Linear Function 0 Views
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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
Full Transcript
- 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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