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Question: 4 A wildlife researcher studying the growth of a fox population in a particular region records the number of foxes in the year 2018. She determines that if the fox population keeps growing the function P(t)=500(1.05)^t will model the number of foxes, P, after tyears Which statement correctly interprets this model? A. The number of foxes in this particular region is originally 500 and increases by 5% per year. The number of foxes in this particular region is originally 5 and B. increases by 500% per year. The number of foxes in this particular region is originally 5 and C. increases by 500 per year. The number of foxes in this particular region is originally 500 and D. increases by 5 per year.

Pergunta

Question: 4
A wildlife researcher studying the growth of a fox population in a particular
region records the number of foxes in the year 2018. She determines that if
the fox population keeps growing the function P(t)=500(1.05)^t will
model the number of foxes, P, after tyears Which statement correctly
interprets this model?
A.
The number of foxes in this particular region is originally 500 and
increases by 5%  per year.
The number of foxes in this particular region is originally 5 and
B.
increases by 500%  per year.
The number of foxes in this particular region is originally 5 and
C.
increases by 500 per year.
The number of foxes in this particular region is originally 500 and
D.
increases by 5 per year.

Question: 4 A wildlife researcher studying the growth of a fox population in a particular region records the number of foxes in the year 2018. She determines that if the fox population keeps growing the function P(t)=500(1.05)^t will model the number of foxes, P, after tyears Which statement correctly interprets this model? A. The number of foxes in this particular region is originally 500 and increases by 5% per year. The number of foxes in this particular region is originally 5 and B. increases by 500% per year. The number of foxes in this particular region is originally 5 and C. increases by 500 per year. The number of foxes in this particular region is originally 500 and D. increases by 5 per year.

Solução

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GiovanniProfissional · Tutor por 6 anos

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The correct interpretation of the model $P(t)=500(1.05)^{t}$ is:<br /><br />A. The number of foxes in this particular region is originally 500 and increases by $5\%$ per year.<br /><br />Explanation:<br />- The initial number of foxes is represented by the coefficient 500 in the function $P(t)=500(1.05)^{t}$.<br />- The growth rate is represented by the base 1.05 in the function $P(t)=500(1.05)^{t}$, which indicates a $5\%$ increase per year.<br /><br />Therefore, the correct interpretation is that the number of foxes in this particular region is originally 500 and increases by $5\%$ per year.
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