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
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.
its 1,280
bot is wrong
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.
To find the best estimate for the bee population, we can use a ratio proportion.
First, let's set up the proportion using the marked bees as a reference:
160 marked bees / 30 observed marked bees = x total bees / 240 collected bees.
Now, we can cross multiply:
160 * 240 = 30 * x.
Simplifying the equation, we have:
x = (160 * 240) / 30.
Calculating this expression:
x = 3840 / 30,
x = 128.
Therefore, the best estimate for the bee population is 1280 bees.
So, the answer is option A: 1,280.