Answer:
The year is 1979.
Step-by-step explanation:
Given:
The function relating fish population and number of years since 1972 is:
Now, when the fish population reaches 99 thousand, it means that . Now, plugging in
in the above equation and solving for
. This gives,
Therefore, the year after 7 years passed since 1972 is given as:
1972 + 7 = 1979.
So, the year when the number of fish reaches 99 thousand is 1979.
Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.
Anyway, it means that the area is given by
Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:
The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:
So, the area is
