Jasmin’s dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin’s dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be at a healthy weight

Question

Jasmin’s dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin’s dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be at a healthy weight

Answer 1

Let x be the number of weeks it takes for Jasmin's dog to reach a healthy weight.

The initial weight of Jasmin's dog is 58 pounds and it needs to be less than or equal to 40 pounds, given that it can lose an average of 1.5 pounds every week.

Thus, the inequality that describes all possible number of weeks x for which her dog can be at a healthy weight is:
58 - 1.5x ≤ 40

Simplify this inequality:
-1.5x ≤ -18
x ≥ 12

Therefore, her dog can be at a healthy weight in 12 or more weeks.