Question

Question was provided via image upload.

Explanation:

Identify the given values and conversion factor

We are given Ms. Rose's weight of \(215\text{ pounds}\). We need to convert this weight to kilograms.

Using the standard Unit Conversion Factors for mass, we know that:

$$1\text{ pound (lb)} \approx 0.45359237\text{ kilograms (kg)}$$

Alternatively, a common standard conversion factor used in school curricula is:

$$1\text{ kg} \approx 2.2\text{ lb}$$

Let's calculate using both standard conversion factors to ensure accuracy.

Convert using the standard pound-to-kilogram factor

Using Unit Conversion:

$$215\text{ lb} \times 0.45359237\text{ kg/lb} \approx 97.52235955\text{ kg}$$

Rounding to the nearest hundredth:

$$97.52\text{ kg}$$

Convert using the standard kilogram-to-pound factor

Using the alternative conversion factor \(1\text{ kg} \approx 2.2\text{ lb}\):

$$215\text{ lb} \div 2.2\text{ lb/kg} \approx 97.7272...\text{ kg}$$

Rounding to the nearest hundredth:

$$97.73\text{ kg}$$

(Note: Since the reference table is cut off in the image, both standard methods are presented. The exact conversion factor \(1\text{ lb} \approx 0.45\text{ kg}\) yields \(215 \times 0.45 = 96.75\text{ kg}\). The most universally accepted precise conversion is \(97.52\text{ kg}\).)

Answer:

Using the precise conversion factor \(1\text{ lb} \approx 0.4536\text{ kg}\):

$$215\text{ lb} \times 0.4536\text{ kg/lb} \approx 97.52\text{ kg}$$

Using the conversion factor \(1\text{ kg} \approx 2.2\text{ lb}\):

$$215\text{ lb} \div 2.2\text{ lb/kg} \approx 97.73\text{ kg}$$