Question

tim is a wildlife biologist studying deer parasites. during a study, he finds that 12 out of 32 deer were affected by parasites. how many of the 1200 deer in the local population would he expect to be affected by parasites? a) 144 b) 320 c) 384 d) 450

Explanation:

Step1: Find the proportion of affected deer

The proportion of affected deer in the study is $\frac{12}{32}$.

Step2: Calculate the expected number in 1200 deer

Multiply the proportion by the total population of 1200: $\frac{12}{32} \times 1200$. Simplify $\frac{12}{32}$ to $\frac{3}{8}$, then $\frac{3}{8} \times 1200 = 3 \times 150 = 450$? Wait, no, wait: $\frac{12}{32}=\frac{3}{8}$, $\frac{3}{8}×1200 = 3×150 = 450$? Wait, no, 1200 divided by 8 is 150, times 3 is 450. Wait, but let's check again. 12 out of 32 is 0.375. 0.375 times 1200 is 450. Wait, but let's do the calculation: 12/32 = 3/8. 3/8 1200 = (31200)/8 = 3600/8 = 450. Yes.

Wait, but let me check the options. Option D is 450. So the calculation is correct.

Answer:

D) 450