Question

Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by marking 160 bees. Later, Randy collects 240 bees and observes that 30 of them are marked. What is the BEST estimate for the bee population?
Responses
A 1,2801,280
B 1,2001,200
C 1,3001,300
D 1,240

Answer 1

its 1,280
bot is wrong

Answer 2

We can use a proportion to estimate the bee population:

160 marked bees out of x total bees = 30 marked bees out of 240 total bees

Simplifying, we get:

160/x = 30/240

Cross-multiplying:

30x = 160*240

Solving for x:

x = 1,200

Therefore, the estimated bee population is 1,200, which is answer choice B.

Answer 3

I apologize for my error. You are correct, the estimated bee population is 1,280, which is answer choice A.

Using the same proportion:

160 marked bees out of x total bees = 30 marked bees out of 240 total bees

Simplifying, we get:

160/x = 30/240

Cross-multiplying:

30x = 160*240

Solving for x:

x = 1,280

Therefore, the estimated bee population is 1,280. Thank you for bringing this to my attention.