Question #e9ef0e6b - SAT Suite Question Bank

ID: e9ef0e6b

Modded SAT Question Bank by Abdullah Mallik

A model estimates that whales from the genus Eschrichtius travel $72$ to $77$ miles in the ocean each day during their migration. Based on this model, which inequality represents the estimated total number of miles, $x$ , a whale from the genus Eschrichtius could travel in $16$ days of its migration?

$72 + 16 \leq x \leq 77 + 16$
$(72) (16) \leq x \leq (77) (16)$
$72 \leq 16 + x \leq 77$
$72 \leq 16 x \leq 77$

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Correct Answer: B

Rationale

Choice B is correct. It's given that the model estimates that whales from the genus Eschrichtius travel $72$ to $77$ miles in the ocean each day during their migration. If one of these whales travels $72$ miles each day for $16$ days, then the whale travels $72 left parenthesis 16 right parenthesis$ miles total. If one of these whales travels $77$ miles each day for $16$ days, then the whale travels $77 left parenthesis 16 right parenthesis$ miles total. Therefore, the model estimates that in $16$ days of its migration, a whale from the genus Eschrichtius could travel at least $72 left parenthesis 16 right parenthesis$ and at most $77 left parenthesis 16 right parenthesis$ miles total. Thus, the inequality $(72) (16) \leq x \leq (77) (16)$ represents the estimated total number of miles, $x$ , a whale from the genus Eschrichtius could travel in $16$ days of its migration.

Choice A is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

Question Difficulty: Medium