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- Advanced algebra ii: activities
- Modeling data with functions
- Direct variation
This module provides word problems which develop concepts related to direct variation.
Suppose I make $6/hour. Let
represent the number of hours I work, and
represent the money I make.
-
A
Make a table showing different
values and their corresponding
values. (
is not how much money I make in that particular hour—it’s how much total money I have made, after working that many hours.)
-
B
Which is the dependent variable, and which is the independent variable?
-
C
Write the function.
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D
Sketch a quick graph of what the function looks like.
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E
In general: if I double the number of hours, what happens to the amount of money?
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I am stacking bricks to make a wall. Each brick is 4" high. Let
represent the number of bricks, and
represent the height of the wall.
-
A
Make a table showing different
values and their corresponding
values.
bricks (
) |
height (
) |
|
|
|
|
|
|
|
|
-
B
Which is the dependent variable, and which is the independent variable?
-
C
Write the function.
-
D
Sketch a quick graph of what the function looks like.
-
E
In general: if I triple the number of bricks, what happens to the height?
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The above two scenarios are examples of
direct variation . If a variable
“varies directly” with
, then it can be written as a function
, where
is called the
constant of variation . (We also sometimes say that “
is proportional to
,” where
is called the constant of proportionality. Why do we say it two different ways? Because, as you’ve always suspected, we enjoy making your life difficult. Not “students in general” but just you personally.) So,
if
varies directly with
…
-
A
What happens to
if
doubles? (
Hint : You can find and prove the answer from the equation
.)
-
B
What happens to
if
is cut in half?
-
C
What does the graph
look like? What does
represent in this graph?
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Make up a word problem like Exercises 1 and 2 above, on the subject of
fast food . Your problem should
not involve getting paid or stacking bricks. It
should involve two variables that vary directly with each other. Make up the scenario, define the variables, and then do parts (a) – (e) exactly like my two problems.
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Questions & Answers
I'm interested in biological psychology and cognitive psychology
what does preconceived mean
How can I develope my cognitive domain
why is communication effective
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
compare and contrast skinner's perspective on personality development on freud
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
interpersonal relationships
What would be the best educational aid(s) for gifted kids/savants?
treat them normal, if they want help then give them.
that will make everyone happy
Saurabh
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Source:
OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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