Question

jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifers shelf support?
a. 7.44 kg
b. 13.44 kg
c. 32.42 kg
d. 36.16 kg

Explanation:

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<reasoning>

Identify given values and target

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Shelf capacity} = 16.40\text{ lbs}\\ &\text{Conversion factor} = 2.20462\text{ lbs/kg}\\ &\text{Target} = \text{Capacity in kg} \end{aligned}$$

\]

Calculate capacity in kilograms

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Capacity in kg} &= \frac{16.40\text{ lbs}}{2.20462\text{ lbs/kg}} \\ &\approx 7.4389\text{ kg} \\ &\approx 7.44\text{ kg} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>a. 7.44 kg</mcq-correct>
<mcq-option>b. 13.44 kg</mcq-option>
<mcq-option>c. 32.42 kg</mcq-option>
<mcq-option>d. 36.16 kg</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify given values and target

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Shelf capacity} = 16.40\text{ lbs}\\ &\text{Conversion factor} = 2.20462\text{ lbs/kg}\\ &\text{Target} = \text{Capacity in kg} \end{aligned}$$

\]

Calculate capacity in kilograms

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Capacity in kg} &= \frac{16.40\text{ lbs}}{2.20462\text{ lbs/kg}} \\ &\approx 7.4389\text{ kg} \\ &\approx 7.44\text{ kg} \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>a. 7.44 kg</mcq-correct>
<mcq-option>b. 13.44 kg</mcq-option>
<mcq-option>c. 32.42 kg</mcq-option>
<mcq-option>d. 36.16 kg</mcq-option>
</answer>

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