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Slope (Problem) 4206 Views


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Description:

Sometimes, you hit the slopes. Other times, the slope hits you.

Language:
English Language

Transcript

00:01

Slope, a la Shmoop. Marvin's Lemonade Stand is off to a slow start.

00:10

It could be because Marvin sells his customers glasses full of lemons and tells them to make

00:15

their own lemonade. Mmm. Motivational and delicious.

00:21

Marvin sells his glass o' lemons at two dollars per glass.

00:24

He starts the day with $10 and sells 4 glasses per hour.

00:27

If we plotted the money Marvin earns for every hour that his lemonade stand is open...

00:31

...what would be the slope of the line? First, we want to know which two values our

00:36

line represents. We're trying to relate the time that the stand

00:36

is open, in hours... ...to the money Marvin earns, in dollars.

00:37

So... we want to assign our variables properly. The independent variable is x, and the dependent

00:37

variable is y. Since the money Marvin earns depends on the

00:40

number of hours that pass... ...we know that time will be on our x axis

00:45

Time is gonna pass no matter what ... making it an independent value or variable.

00:50

Which makes money our y axis because it is DEPENDENT on the time

00:58

Slope is "rise" over "run," or y over x... ...so we know that our units should be in

01:09

dollars per hour. If Marvin sells 4 glasses at $2 apiece...

01:14

...he'll earn $8 per hour. So the slop of our line is... 8.

01:20

The equation of the line would be y equals 8x plus 10...

01:23

...because Marvin starts out with $10 originally... ...and every hour that passes x, he earns

01:26

eight more dollars... ...which is reflected in his total dollar

01:35

amount... y. However, one of his loyal customers choked

01:53

on a lemon... ...and the slope cost of hiring a lawyer is

01:56

a whole different matter.

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