A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles in the ocean each day during

Question

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?

A.

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

B.

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

C.

$72 \leq 16 + x \leq 77$

D.

$72 \leq 16 x \leq 77$

Accepted Answer

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 16 miles total. If one of these whales travels 77 miles each day for 16 days, then the whale travels 77 16 miles total. Therefore, the model estimates that in 16 days of its migration, a whale from the genus Eschrichtius could travel at least 72 16 and at most 77 16 miles total. Thus, the inequality 72 16 &#8804; x &#8804; 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.

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