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Applications of Linear Equations  Concept
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
We often see math applied to the real world through word problems, and the applications of linear equations are seen throughout all our math courses after Algebra. To understand applications of linear equations we need to have an understanding of slope, how to interpret a graph, and how to write an equation. In upperlevel Algebra, we apply systems of linear equations to these problems as well.
I'm a math teacher.
And one of the things students ask me all
the time is when are we going to use
this in the real world?
And a lot of the times, you guys, you
really do use math in the real world.
And one of the situations you're going to
see those kind of situations in your
math class is using graphs that describe
linear equations or word problems.
When you're looking at a word problem or
a graph that describes a word problem,
there's a bunch of things
to keep in mind.
One thing to be really sure you're aware
of is the scale on the X and the Y
axis.
By scale, that means how much
are you counting by?
Are you counting by 5s
or counting by 500s.
That's something that's really important
in terms of the real world context.
Along those same lines, pay
attention to the units.
Units meaning are you looking at how much
you're paying in dollars or pounds
or yen or cents or
whatever it is.
All those kinds of units are really important
to keep in mind especially when
you get to the slope.
One of the most common graphs of word
problems is about slopes of distances
and times, because the slope
is distance per time. It's the rate.
It's how fast you're traveling.
So a lot of times you're going to be asked
to interpret the slope of a word
problem graph.
Another thing I want you guys to keep in
mind is the intercepts and what the
intercepts mean on a graph.
Keep in mind that the X intercept means
the Y quantity is equal to
0 .Y intercept means X quantity is equal to 0.
When you're looking at graphs all of these
things are really important to keep in
mind and it will help you connect
this math to the real world.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (10)
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Applications of Linear Equations
Problem 1 11,456 views"PumpUUp" Gym charges a $100 enrollment free, plus $35 per month to be a member. Write an equation that represents the cost as a function of the number of months enrolled. Make a table of values and draw the graph.

Applications of Linear Equations
Problem 2 8,060 viewsA hot air balloon is 200 feet up and descending at a rate of 10 feet every 3 minutes.
a) Write an equation to represent the height of the balloon as a function of time.b) Sketch a graph.c) How high will the balloon be after 30 min?d) How long until the balloon reaches the ground? 
Applications of Linear Equations
Problem 3 6,876 viewsA scuba diver is 400 feet below sea level and raising at a rate of 4 feet every 3 seconds.
a) Write an equation to represent the depth of the diver, letting y = 0 represent the water surface.b) Sketch a graph.c) Find and interpret the x and y intercepts. 
Applications of Linear Equations
Problem 4 262 views 
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Problem 5 311 views 
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Problem 6 484 views 
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Problem 7 460 views 
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Problem 8 423 views 
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Problem 9 474 views 
Applications of Linear Equations
Problem 10 476 views
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