Final answer:
To determine if the ring was obtained from a jewelry store or a quarter machine, we need to calculate the density of the ring. Based on the calculations, it is more likely that your bae got the ring from a jewelry store.
Step-by-step explanation:
To determine if the ring was obtained from a jewelry store or a quarter machine, we need to calculate the density of the ring. Density is defined as the mass of a substance divided by its volume. In this case, the mass of the ring is given as 77.2 g. We need to find the volume of the ring using the formula density = mass / volume. Rearranging the formula to solve for volume, we get volume = mass / density. Since the density of gold is given as 19.3 g/cm³, we can substitute the values into the formula to find the volume. Volume = 77.2 g / 19.3 g/cm³ = 4 cm³.
Now we need to compare the volume of the ring to the size of the jewelry in the picture. If the ring has a volume of 4 cm³, it would be larger than the jewelry in the picture. For reference, a typical quarter machine ring is about 1-2 cm³ in volume, while a ring from a jewelry store is usually larger, around 3-5 cm³ in volume. Based on the calculations, it is more likely that your bae got the ring from a jewelry store.