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SashulF [63]
3 years ago
13

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

Mathematics
1 answer:
storchak [24]3 years ago
5 0

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

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