Let x represent the number of hardbacks and y represent the number of paperbacks that Kiani buys.
The cost constraint is given by the inequality:
12x + 5y ≤ 60
The non-negative constraint is given by the inequality:
x ≥ 0, y ≥ 0
Out of the given points, (6,6) represents a viable solution because it satisfies both constraints:
12(6) + 5(6) = 72 + 30 = 102 > 60 (not a viable solution)
(-2.6) does not make sense as the number of books.
(1,4.5) represents a viable solution because it satisfies both constraints:
12(1) + 5(4.5) = 12 + 22.5 = 34.5 ≤ 60 (a viable solution)
(2,4) represents a viable solution because it satisfies both constraints:
12(2) + 5(4) = 24 + 20 = 44 ≤ 60 (a viable solution)
Therefore, the points (1,4.5) and (2,4) are both viable solutions.
Kiani is shopping at a bookstore with a budget of $60. Hardbacks cost $12 and paperbacks cost $5. Write a two-variable inequality and determine the constraints of the problem. Which of the following points represents a viable solution?(1 point) Responses
(6,6)
(-2.6)
(1,4.5)
(2,4)
1 answer
1 answer