Find the number of fruit flies which were placed in the container.

Find the number of fruit flies that are in the container after 6 days.

The maximum capacity of the container is 8000 fruit flies.

Find the number of days until the container reaches its maximum capacity.

\(12 \times {3^{0.498 \times 0}}\)     (M1)

Note: Award (M1) for substituting zero into the equation.

= 12      (A1) (C2)

[2 marks]

\(12 \times {3^{0.498 \times 6}}\)     (M1)

Note: Award (M1) for substituting 6 into the equation.

320     (A1) (C2)

Note: Accept an answer of 319.756… or 319.

[2 marks]

\(8000 = 12 \times {3^{0.498 \times t}}\)     (M1)

Note: Award (M1) for equating equation to 8000.
Award (M1) for a sketch of P(t) intersecting with the straight line y = 8000.

= 11.9 (11.8848…)     (A1) (C2)

Note: Accept an answer of 11 or 12.

[2 marks]