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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

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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