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Indicate Whether the Function Is One-To-One P\mathrm { P } Of a Predator Mammal Depends Upon the Number

Question 51

Multiple Choice

Indicate whether the function is one-to-one.
-The population P\mathrm { P } of a predator mammal depends upon the number x\mathrm { x } of a smaller animal that is its primary food source. The population s of the smaller animal depends upon the amount a of a certain plant that is its primary food source. If P(x) =3x2+8\mathrm { P } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 2 } + 8 and s(a) =4a+4s ( a ) = 4 a + 4 , what is the relationship between the predator mammal and the plant food source?


A) P(s(a) ) =48a2+96a+56\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 48 \mathrm { a } ^ { 2 } + 96 \mathrm { a } + 56

B) P(s(a) ) =48a2+48a+56\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 48 \mathrm { a } ^ { 2 } + 48 \mathrm { a } + 56

C) P(s(a) ) =16a2+32a+24\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 16 \mathrm { a } ^ { 2 } + 32 \mathrm { a } + 24

D) P(s(a) ) =12a+12\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 12 \mathrm { a } + 12

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