Question

Alexandria ate at most two hundred fifty calories more than twice the number of calories her infant sister ate. Alexandria ate eighteen hundred calories. If i represents the number of calories eaten by the infant, which inequality represents the situation?
1,800 less-than-or-equal-to 250 + 2 i
1,800 less-than 250 + 2 i
1,800 + 250 greater-than 2 i
1,800 + 250 greater-than-or-equal-to 2 i

Answer 1

"At most 250 more than twice i" means Alexandria's calories ≤ 2i + 250. So the correct inequality is:

1800 ≤ 250 + 2i

(Equivalently, 2i ≥ 1550, so i ≥ 775.)