The total number $N$ of rabbits on a farmer's property, assuming unlimited resources and space, can be approximated by the function $\mathrm{N}(\mathrm{x})=50 \mathrm{e}^{0.452 \mathrm{x}}$, where $\mathrm{x}=0$ corresponds to the initial number of rabbits, and $x=1$ corresponds to the number of rabbits after one year, and so on. The function is graphed on a graphing calculator-generated screen. Interpret the meanings of $x$ and $y$ in the display at the bottom of the screen.

A) It means that after 3 years, there will be approximately 194 rabbits on the farm.
B) It means that with 194 rabbits on the farm, 3 new offspring will be born that year.
C) It means that after 3 years, there will be approximately 50 rabbits on the farm.
D) It means that after 3 months, there will be approximately 194 rabbits on the farm.

Question

The total number $N$ of rabbits on a farmer's property, assuming unlimited resources and space, can be approximated by the function $\mathrm{N}(\mathrm{x})=50 \mathrm{e}^{0.452 \mathrm{x}}$, where $\mathrm{x}=0$ corresponds to the initial number of rabbits, and $x=1$ corresponds to the number of rabbits after one year, and so on. The function is graphed on a graphing calculator-generated screen. Interpret the meanings of $x$ and $y$ in the display at the bottom of the screen.

A) It means that after 3 years, there will be approximately 194 rabbits on the farm. 
B) It means that with 194 rabbits on the farm, 3 new offspring will be born that year. 
C) It means that after 3 years, there will be approximately 50 rabbits on the farm. 
D) It means that after 3 months, there will be approximately 194 rabbits on the farm.

Quizplus · Accepted Answer

The Answer of The total number $N$ of rabbits on a farmer's property, assuming unlimited resources and space, can be approximated by the function $\mathrm{N}(\mathrm{x})=50 \mathrm{e}^{0.452 \mathrm{x}}$, where $\mathrm{x}=0$ corresponds to the initial number of rabbits, and $x=1$ corresponds to the number of rabbits after one year, and so on. The function is graphed on a graphing calculator-generated screen. Interpret the meanings of $x$ and $y$ in the display at the bottom of the screen.

A) It means that after 3 years, there will be approximately 194 rabbits on the farm. 
B) It means that with 194 rabbits on the farm, 3 new offspring will be born that year. 
C) It means that after 3 years, there will be approximately 50 rabbits on the farm. 
D) It means that after 3 months, there will be approximately 194 rabbits on the farm.

The Total Number NNN Of Rabbits on a Farmer's Property, Assuming Unlimited Resources and Assuming

The Total Number $N$ Of Rabbits on a Farmer's Property, Assuming Unlimited Resources and Assuming