Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

For a research project on rodents, 4141 chipmunks were tagged and released. Later, researchers counted 320320 chipmunks in the area. Of the chipmunks they counted, 1616 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Estimate population size using proportionsright chevron icon

Full solution

Q. For a research project on rodents, 4141 chipmunks were tagged and released. Later, researchers counted 320320 chipmunks in the area. Of the chipmunks they counted, 1616 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?
  1. Identify Proportion: Step 11: Identify the proportion of tagged chipmunks to the total counted chipmunks to estimate the total population.\newlineCalculation: Proportion of tagged to counted = 16 tagged320 counted\frac{16 \text{ tagged}}{320 \text{ counted}}.
  2. Estimate Population: Step 22: Use the proportion from Step 11 to estimate the total population based on the initial number of tagged chipmunks.\newlineCalculation: Total population estimate = (41 tagged16 counted)∗320 total counted(\frac{41 \text{ tagged}}{16 \text{ counted}}) * 320 \text{ total counted}.
  3. Calculate Total: Step 33: Calculate the estimated total population.\newlineCalculation: (4116)×320=820(\frac{41}{16}) \times 320 = 820.

More problems from Estimate population size using proportions

Question
Pamela drove her car 9999 kilometers and used 99 liters of fuel. She wants to know how many kilometers (k) (k) she can drive with 1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.\newlineHow many kilometers can Pamela drive with 1212 liters of fuel?\newlinekm \mathrm{km}
Get tutor helpright-arrow

Posted 9 months ago

Question
Elio makes candles that are 14 cm 14 \mathrm{~cm} tall. Each candle burns 88 hours before going out. He is wondering how many hours a 21 cm 21 \mathrm{~cm} tall candle can burn for.\newlineHe assumes that the relationship between the height of a candle and number of hours it burns (h) (h) is proportional.\newlineHow long can a 21 cm 21 \mathrm{~cm} tall candle burn for?\newlinehours
Get tutor helpright-arrow

Posted 9 months ago

Question
37=h14−27\frac{3}{7} = \frac{h}{14} - \frac{2}{7} solve for hh
Get tutor helpright-arrow

Posted 8 months ago

Question
Yesterday, between noon and midnight, the temperature went down by 28.7∘F 28.7^{\circ} \mathrm{F} . If the temperature was −13.5∘F -13.5^{\circ} \mathrm{F} at midnight, what was it at noon?\newlineAnswer: □\square ∘F { }^{\circ} \mathrm{F}
Get tutor helpright-arrow

Posted 8 months ago

Question
Yesterday the temperature at noon was 20.4∘F 20.4^{\circ} \mathrm{F} . By midnight, it had gone down by 28.9∘F 28.9^{\circ} \mathrm{F} . What was the temperature at midnight?\newlineAnswer: □\square ∘F { }^{\circ} \mathrm{F}
Get tutor helpright-arrow

Posted 8 months ago

Question
From midnight to 99:0000 am, the temperature rose 35∘C \frac{3}{5}^{\circ} \mathrm{C} each hour. If the temperature at midnight was −9∘C -9^{\circ} \mathrm{C} , what was the temperature at 99:0000 am?\newlineAnswer: □\square ∘C { }^{\circ} \mathrm{C}
Get tutor helpright-arrow

Posted 9 months ago

Question
A 134 1 \frac{3}{4} -inch candle burns down in 77 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 11-inch candle to burn down?\newlineAnswer: hours\newlineSubmit Answer
Get tutor helpright-arrow

Posted 8 months ago

Question
A 312 3 \frac{1}{2} -inch candle burns down in 77 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 412 4 \frac{1}{2} -inch candle to burn down?\newlineAnswer: hours
Get tutor helpright-arrow

Posted 8 months ago

Question
A 312 3 \frac{1}{2} -inch candle burns down in 77 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 55 -inch candle to burn down?\newlineAnswer: hours
Get tutor helpright-arrow

Posted 8 months ago

Question
A 134 1 \frac{3}{4} -inch candle burns down in 77 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 11-inch candle to burn down?\newlineAnswer: hours
Get tutor helpright-arrow

Posted 9 months ago

View all (12)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant