Question

Sheila is a wildlife biologist. At the beginning of each year, she tracks the wild turkey and white-tail deer population in the game reserve where she works. At the first year Sheila counted 12 wild turkeys, and their number increases by approximately 40% each year. At the first year Sheila counted 181818 white-tail deer, and their number increases by 10 additional deer per year. What is the first year in which Sheila counts more turkeys than deer?

Answer 1

Question needs to be corrected :

It will be 18 white-tail deer instead of 181818.

Solution :

• In 1st year :

Number of wild turkeys = 12

Number of white-tail deer = 18

• In 2nd year :

Number of wild turkeys

= (1 + 40%) × 12

= (1 + 40/100) × 12

= 140/100 × 12

= 16.8

Number of white-tail deer

= 18 + 10

= 28

• In 3rd year :

Number of wild turkeys

= (1 + 40%) × 16.8

= (1 + 40/100) × 16.8

= 140/100 × 16.8

= 23.52

Number of white-tail deer

= 28 + 10

= 38

• In 4th year :

Number of wild turkeys

= (1 + 40%) × 23.52

= (1 + 40/100) × 23.52

= 140/100 × 23.52

= 32.928

Number of white-tail deer

= 38 + 10

= 48

• In 5th year :

Number of wild turkeys

= (1 + 40%) × 32.928

= (1 + 40/100) × 32.928

= 140/100 × 32.928

= 46.0992

Number of white-tail deer

= 48 + 10

= 58

• In 6th year :

Number of wild turkeys

= (1 + 40%) × 46.0992

= (1 + 40/100) × 46.0992

= 140/100 × 46.0992

= 64.53888

Number of white-tail deer

= 58 + 10

= 68

• in 7th year :

Number of wild turkeys

= (1 + 40%) × 64.53888

= (1 + 40/100) × 64.53888

= 140/100 × 64.53888

= 90.354432

Number of white-tail deer

= 68 + 10

= 78

In the case of 7th year, we see that the number of wild turkeys is counted more than the number of white-tail deer.

Answer 2

Answer:

7 years

Step-by-step explanation:

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