Question

Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8.

Answer 1

Answer:

Step-by-step explanation:

If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.

If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes

y = k/x

When y = 0.25, x = 8

Substituting into the expression above, it becomes

0.25 = k/8

k = 0.25 × 8

k = 2

The inverse variation function is

y = 2/x

Answer 2

The inverse variation of the function is: y = k/2

What is an Inverse Variation Function?

An inverse variation between two variables, x and y, with a constant of proportionality given as k, is represented with the equation, y = k/x.

Constant of proportionality (k) = xy.

Thus, find k first if y = 0.25 and x = 8 and they vary inversely.

k = 0.25 × 8

k = 2

Substitute k = 2 into y = k/x

y = k/2

Therefore, the inverse variation of the function is: y = k/2

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