DIRECTIONS :
Variation is a great example of how mathematics is used to model and solve...
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Mathematics, 14.03.2020 19:17 perezesmeralda78
DIRECTIONS :
Variation is a great example of how mathematics is used to model and solve real-world problems. Many fields of study contain examples of the three different kinds of variation:
Direct variation (for example, y = kx)
Inverse variation (for example, y = k/x)
Joint variation (for example, z = kxy)
Definition of Joint Variation
Joint variation is the same as direct variation with two or more quantities.
That is:
Joint variation is a variation where a quantity varies directly as the product of two or more other quantities.
Let's first understand direct variation.
Direct variation occurs when two quantities change in the same manner.
That is:
Increase in one quantity causes an increase in the other quantity.
Decrease in one quantity causes a decrease in the other quantity.
For example:
The cost of a pencil and the number of pencils you buy.
Buy more pay more….Buy less pay less.
Direct variation between variables x and y can be expressed as:
y = kx, where 'k' is the constant of variation and k ≠0.
y = kxz represents joint variation. Here, y varies jointly as x and z.
More Examples on Joint Variation
y = 7xz, here y varies jointly as x and z.
y = 7x2z3, here y varies jointly as x2 and z3."
for example, a biker traveling at 8 mph can cover 8 miles in 1 hour. If the biker's speed decreases to 4 mph, it will take the biker 2 hours (an increase of one hour), to cover the same distance.
QUESTION : Give an example from real life where composite functions are utilized. For ideas, you may look it up on the internet or find examples in the book
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