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.
Let x represent the number of weeks it takes for Jasmin's dog to reach a healthy weight.
The initial weight of the dog is 58 pounds, and the healthy weight is less than or equal to 40 pounds.
Therefore, 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
Solve for x:
-1.5x ≤ 40 - 58
-1.5x ≤ -18
x ≥ 12
Therefore, the solution to the inequality is x ≥ 12. This means that it will take her dog at least 12 weeks to reach a healthy weight of 40 pounds.