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

question 51

Multiple Choice

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

• A) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 48 \mathrm { a } ^ { 2 } + 96 \mathrm { a } + 56\)
• B) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 48 \mathrm { a } ^ { 2 } + 48 \mathrm { a } + 56\)
• C) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 16 \mathrm { a } ^ { 2 } + 32 \mathrm { a } + 24\)
• D) \(\mathrm { P } ( \mathrm { s } ( \mathrm { a } ) ) = 12 \mathrm { a } + 12\)

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