Question

how many kilocalories are in a banana containing 410 kj of energy?
? kcal

Explanation:

Step1: Recall the conversion factor

The conversion factor between kilojoules (kJ) and kilocalories (kcal) is \( 1\ \text{kcal} = 4.184\ \text{kJ} \) (approximately, sometimes rounded to 4.18 or 4.2 for simplicity; here we'll use 4.184 for accuracy, but if using 4.18, the result is very close). So to convert kJ to kcal, we use the formula: \( \text{Energy (kcal)}=\frac{\text{Energy (kJ)}}{4.184} \)

Step2: Substitute the given value

We are given the energy in kJ as 410 kJ. Substitute into the formula: \( \text{Energy (kcal)}=\frac{410}{4.184} \)

Calculate the division: \( \frac{410}{4.184}\approx97.99 \), which rounds to approximately 98 kcal (if we use 4.18 as the conversion factor: \( \frac{410}{4.18}\approx98.09 \), still approximately 98).

Answer:

\( \approx98 \) (or more precisely, using 4.184, it's approximately 97.99, which we can round to 98)