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Answered

If the relationship between the manipulated variable and the responding variable is an inverse proportion, what will a line graph of this relationship look like?

Aa straight line
Ba curved line
Ca jagged line
Dnone of the above

Verified Answer :

Hagrid

The correct answer for this question is "B. a curved line." If the relationship between the manipulated variable and the responding variable is an inverse proportion, the line graph of this relationship will look like a a curved line. Inverse of that line will give you a curved line.

carlosego

For this case we have a function of the form:

\(y = \frac{k}{x}
\)

Where,

y: dependent variable

x: independent variable

k: constant

Since the relationship is inverse, then the graph is a curve. The behavior of the function is:

When the value of x is very close to zero on the right the graph tends to infinity.

When the value of x is a very large number (positive) the graph tends to zero.

When the value of x is very close to zero on the left the graph tends to minus infinity.

When the value of x is a very large number (negative) the graph tends to zero.

Answer:

a line graph of this relationship looks like:

B. a curved line

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