Jasmin’s dog weighs 58 pounds. The veterinary told her a healthy weight for her dog was 40 pounds. Write an inequality to show many weeks it would take Jasmin’s dog to weigh less than 40 pounds if it lost 1.5 pounds each week.
(1 point)
A.
58x - 1.5 > 40
B.
58 - 1.5x < 40
C.
58x - 1.5 < 40
D.
58 + 1.5x < 40
To find the correct answer choice, let's break down the problem.
The dog weighs 58 pounds, and it needs to lose weight to reach a healthy weight of 40 pounds. The dog loses 1.5 pounds each week. We want to find the number of weeks it would take for the dog to weigh less than 40 pounds.
To formulate the inequality, we need to consider the following:
1. The current weight of the dog: 58x (where x represents the number of weeks)
2. The rate at which the dog loses weight: -1.5 (since the dog is losing weight, the value is negative)
3. The target weight: 40
Given the above, the inequality would be: 58x - 1.5x < 40
Simplifying the equation, we have: 56.5x < 40
Therefore, the correct answer choice is C. 58x - 1.5 < 40.