Final answer:
To keep Jerome's body mass index between 24 and 33, his weight should be between 975.43 pounds and 1339.35 pounds.
Step-by-step explanation:
The body mass index (BMI) can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula I = 700w/h², where w is the weight in pounds, and h is the height in inches.
To keep Jerome's BMI between 24 and 33, we need to find the weight range that satisfies this condition. Since Jerome's height is 72 inches, we can substitute h = 72 into the equation. Let's solve for the weight range:
For BMI less than or equal to 33: 24 <= 700w/72² <= 33
Multiplying both sides by 72²:
24 * 72² <= 700w <= 33 * 72²
Dividing both sides by 700:
24 * 72² / 700 <= w <= 33 * 72² / 700
Calculating the weight range:
975.43 <= w <= 1339.35
Therefore, Jerome's weight should be between 975.43 pounds and 1339.35 pounds to keep his BMI between 24 and 33.