Give an example of direct variation.
Answers
Answer:
Some examples of direct variation problems in real life: The number of hours you work and the amount of your paycheck. The amount of weight on a spring and the distance the spring will stretch. The speed of a car and the distance traveled in a certain amount of time.
Step-by-step explanation:
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Answer:
Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if:
y = kx
for some constant k , called the constant of variation or constant of proportionality . (Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x .")
This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
Example 1:
Given that y varies directly as x , with a constant of variation k. = 1 / 3 , find y when x = 12 .
Write the direct variation equation.
y = 1 / 3x
Substitute the given x value.
y = 1 / 3 × 12
y = 4