Question

Your veterinarian tells you that a healthy weight for your dog is between 70 and 80 pounds. Write an inequality to represent your dog's healthy weight w in kilograms.

Answer 1

To find the healthy weight range for the dog in kilograms, divide the weight in pounds (70-80 lbs) by the conversion factor (2.2 lbs/kg), resulting in an inequality of 31.82 kg <= w <= 36.36 kg for the dog's weight w.

Step-by-step explanation:

To represent your dog's healthy weight w in kilograms using an inequality, we need to convert the given weight in pounds to kilograms. We know 1 kilogram is approximately equal to 2.2 pounds. So, to find the conversion for the healthy weight range of 70-80 pounds, we divide each weight by 2.2 pounds/kg.

For the lower limit: 70 pounds ÷ 2.2 pounds/kg ≈ 31.82 kg
For the upper limit: 80 pounds ÷ 2.2 pounds/kg ≈ 36.36 kg

Therefore, the inequality representing the healthy weight w of your dog in kilograms is:

31.82 kg ≤ w ≤ 36.36 kg

This inequality states that the weight w of the dog in kilograms should be greater than or equal to 31.82 kg and less than or equal to 36.36 kg to be considered healthy.