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SAT Math: Interpreting the Values of a Parabolic Equation 3 Views
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Description:
Water exits from a fountain, forming a parabolic shape that can modeled by the equation above. a, b, and c are constants, h is the height of water, and tis the amount of time, in seconds, that the fountain emits water. What factor does b most closely represent?
Transcript
- 00:00
Yeah Whoa Okay Next The equation A math problem for
- 00:06
you people there from Shmoop Alright well H equals eighty
- 00:09
squared plus B T plus sea water exits from a
- 00:12
fountain forming a parabolic shape that can be modelled by
- 00:16
the equation above A B and C are constants H
Full Transcript
- 00:19
is the height of water and T is the amount
- 00:21
of time in seconds that the fountain amidst water what
- 00:24
factor does be most closely represents Well found Sure do
- 00:32
look nice when they're spraying water nice and high and
- 00:34
there's a drought when they're empty and growing a thick
- 00:37
layer of moss and not so much But the water's
- 00:40
height is being measured as it changes over time And
- 00:42
since an arch of water looks the same all the
- 00:45
time while that must mean that this equation is tracing
- 00:48
the path of a few specific drops of water over
- 00:51
time or you know something like that well the result
- 00:53
of the equation is H which is the height and
- 00:56
well it has some type of a unit of length
- 00:59
right So let's just say inches because I'm just calling
- 01:02
them units will probably get confusing Anyway we know that
- 01:05
the end result of evaluating every term on the right
- 01:08
will have to come out to inches Since B is
- 01:10
being multiplied by tea which is measured in seconds time
- 01:13
there B must be in units of inches per second
- 01:16
On that way multiplying by T will cancel the seconds
- 01:19
out so that well just inches or left got it
- 01:22
makes sense So it means that the answer is B
- 01:25
A measure of distance is per unit Time is speed 00:01:29.7 --> [endTime] That's it Bye Blue
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