By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>
Then
- x
y - x = ky ; where k is constant
<h3>Step 2:</h3>
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>
Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
The value of (x) will be:
x = 1.5 (15)
x = 22.5
Learn more about Direct variation here:
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The ability to generalize a study's results to different circumstances is known as external validity that suffers from 7 types of threats.
<h3>What are the threats to External Validity?</h3>
There are 7 major threats to external validity.
- The first threat is sampling bias, in which a sample is not representative of the population.
- The second threat is history, where an unrelated incident can affect the results.
- The third threat is observer bias, in which the traits or actions of the experimenter unintentionally affect the results, resulting in bias and other demand features.
- The fourth threat is the Hawthorne effect, which describes the propensity for individuals to alter their behaviour merely because they are aware that they are being observed.
- The fifth threat is the Testing Effect, in which the results are impacted by whether a test is administered before or after another.
- The sixth threat is the aptitude-treatment, which involves the interaction of individual and group factors to affect the dependent variable.
- The environment, time of day, location, researcher traits, and other variables that restrict the generalizability of the results are included in the seventh threat.
To learn more about external validity, refer:
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Answer:
The cost of production and using more efficient resources
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Explanation: