Question

step 12: determine the sizes of the flocks in the third generation
flock x flock y flock z
total pieces of food eaten 32 180 88
food percentage* % % %
simulated number of birds in flock for 3rd generation**

• divide each flocks total pieces of food by 300, the total number of pieces of food eaten.

** multiply the food percentage for each flock by the total number of birds (30).

Explanation:

Step1: Calculate Food Percentage

For Flock X: $\frac{32}{300}\times100=\frac{3200}{300}\approx10.67\%$
For Flock Y: $\frac{180}{300}\times100 = 60\%$
For Flock Z: $\frac{88}{300}\times100=\frac{8800}{300}\approx29.33\%$

Step2: Calculate Simulated Number of Birds

For Flock X: $0.1067\times30\approx3$
For Flock Y: $0.6\times30 = 18$
For Flock Z: $0.2933\times30\approx9$

Answer:

Food Percentage: Flock X - $10.67\%$, Flock Y - $60\%$, Flock Z - $29.33\%$; Simulated Number of Birds: Flock X - $3$, Flock Y - $18$, Flock Z - $9$