sat suite question viewer

Algebra / Linear inequalities in one or two variables Difficulty: Medium

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?

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

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

$72 \leq 16 + x \leq 77$

$72 \leq 16 x \leq 77$

Back question 39 of 73 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73

Explanation

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.