Suppose that an insect population (in millions) at time x greater than or equal to 0 (in months) is modeled by the rational func
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Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so
...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting in (i), we get
Putting , we get
Therefore, the required value is .