what must be true of the units in two rates if one rate can be converted to the units of the other rate? in other words, the units of the First Rate are both / all distinct from that of the converted rate, but it's still represents the same measurement. (2 points)
If one rate can be converted to the units of the other rate, the two rates must be proportional to each other. In other words, the ratio between the two rates must stay the same even when the units are converted. Thus, the units in both rates must have a common factor or be multiples of each other.
If one rate can be converted to the units of the other rate, it means that both rates represent the same measurement. In order for this to be true, the units of the first rate must be able to be transformed into the units of the converted rate.
To achieve this, the units in both rates must have the same underlying measurement. For example, if the first rate is given in meters per second and the converted rate is given in kilometers per hour, both rates represent the measurement of speed, but in different units.
However, if the units in the two rates are fundamentally different and cannot be converted to each other (e.g., one rate is in time and the other rate is in distance), then it would not be possible for one rate to be converted to the units of the other rate.
If one rate can be converted to the units of the other rate, it means that the two rates are equivalent and represent the same measurement. In order for this to be true, there are a few rules that the units must follow:
1. The units in both rates must measure the same quantity: For example, if one rate is in miles per hour (mph), the other rate must also be in units that measure speed, such as kilometers per hour (km/h).
2. The units in both rates must have a proportional relationship: When converting from one unit to another, there must be a constant ratio between the two rates. This constant ratio allows for the conversion between the units.
3. The units in both rates must be compatible: Units that represent the same measurement but have different names can still be converted if they are compatible. For example, inches and centimeters represent the same measurement of length, so they can be converted using a conversion factor.
Overall, the units in two rates should have a similar meaning and a relationship that allows for conversion between them.