Problem: in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 15 and 150 , then the least and greatest integer on the card would be
Rationale: given : 15 < x ( x + 1 ) < 170 . now , it ' s better to test the answer choices here rather than to solve : if x = 4 then x ( x + 1 ) = 20 > 15 - - > so , the least value is 4 . test for the largest value : if x = 12 then x ( x + 1 ) = 12 * 13 = 156 > 150 answer : c .
annotated_formula: add(multiply(add(floor(sqrt(15)), const_1), const_100), subtract(floor(sqrt(150)), const_1))