Question

10. Is the relationship between the variables in the table a direct variation, an inverse variation,

Answer 1

Answer:

Step-by-step explanation:

For direct variation, an increase or decrease in one variable would lead to a corresponding increase or decrease in the other variable.

For inverse variation, an increase or decrease in one variable would lead to a corresponding decrease or increase in the other variable.

From the given table, as the value of x is increasing, the value of y is decreasing. It means that it is an inverse variation.

Assuming a constant of variation, k then,

y = k/x

k = yx

When y = 30 and x = 2,

k = 30 × 2 = 60

Therefore, the function to model the inverse variation is

y = 60/x