You are trying to convert 250 grams to ounces. Which one of these conversion factors will you most likely use to help solve this? (1 point) A.
B.
C.
D.
The Correct Answer and Explanation is:
The correct answer is: C. gramskilograms\frac{\text{grams}}{\text{kilograms}}
Explanation
To convert 250 grams to ounces, we need to go from a metric unit (grams) to an imperial unit (ounces). There isn’t a direct conversion factor provided in the options that goes straight from grams to ounces. So, we need to think about the logical path to make the conversion using available factors.
Here’s a standard pathway:
- Grams → Kilograms
- Kilograms → Ounces
Let’s break this down:
- Step 1: Grams to Kilograms The relationship between grams and kilograms is: 1 kilogram=1000 grams1 \text{ kilogram} = 1000 \text{ grams} So to convert grams to kilograms, you use: 1 kilogram1000 grams(or equivalently gramskilograms as shown in option C)\frac{1 \text{ kilogram}}{1000 \text{ grams}} \quad \text{(or equivalently } \frac{\text{grams}}{\text{kilograms}} \text{ as shown in option C)}
- Step 2: Kilograms to Ounces Once you have kilograms, you can use a conversion factor like: 1 kilogram≈35.274 ounces1 \text{ kilogram} \approx 35.274 \text{ ounces}
Now let’s look at the options:
- A is poundsgrams\frac{\text{pounds}}{\text{grams}} — not a common or useful step for this conversion.
- B is kilogramsounces\frac{\text{kilograms}}{\text{ounces}} — this is incorrect because it’s the inverse of what you’d need.
- C is gramskilograms\frac{\text{grams}}{\text{kilograms}} — this is exactly what you’d use to go from grams to kilograms.
- D is poundsounces\frac{\text{pounds}}{\text{ounces}} — this involves pounds, which is unnecessary for this task.
Therefore, the most helpful and correct conversion factor among the options to start the process is C.
