Question

It is recommended that adults consume least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of calcium, and one ounce of cheddar cheese

contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 2007 2 1,000
Which of the following choices is NOT a solution to the inequality?
A (12,23)
B (17,2)
C (0,5)
D (7,7)

Answer 1

The solution to the inequality is found by testing each choice. Choice A (12,23) is not a solution.

Step-by-step explanation:

To find a solution to the inequality 25x + 200y < 1000, we need to find values of x and y that make the inequality false.

Let's check each choice:

1. For choice A (12,23):
   25(12) + 200(23) = 300 + 4600 = 4900. This does not satisfy the inequality, so choice A is not a solution.
2. For choice B (17,2):
   25(17) + 200(2) = 425 + 400 = 825. This does satisfy the inequality, so choice B is a solution.
3. For choice C (0,5):
   25(0) + 200(5) = 0 + 1000 = 1000. This does satisfy the inequality, so choice C is a solution.
4. For choice D (7,7):
   25(7) + 200(7) = 175 + 1400 = 1575. This does not satisfy the inequality, so choice D is not a solution.

Based on our calculations, the only choice that is not a solution to the inequality is A (12,23).