Answer :
The unit rate for 56 meters in 32 hours (1.75 m/h) is greater than the unit rate for 40 meters in 25 hours (1.6 m/h).
What do you mean by rate?
In mathematics, rate is a concept used to describe the change in one quantity with respect to another. It is usually represented as a fraction or a ratio and can be thought of as a measure of how fast one quantity is changing with respect to another.
For example, the rate of change of position with respect to time is called velocity. The rate of change of velocity with respect to time is called acceleration. Similarly, the rate of change of any function with respect to its independent variable is called the derivative of the function, and it represents the instantaneous rate of change at a given point.
Rate can also be used to describe the relationship between two quantities that are changing at the same time. For example, in economics, the interest rate is the ratio of the amount of interest earned or paid to the amount of money invested or borrowed. In science, the rate of a chemical reaction is the change in the concentration of a reactant or a product over time.
Overall, the concept of rate is a useful and important idea in mathematics and has many applications in science, engineering, economics, and other fields. It provides a means for analyzing and comparing changes in quantities and for understanding the relationships between different quantities.
The unit rate for 56 meters in 32 hours is [tex]\frac{56}{32}[/tex] = 1.75 meters per hour. The unit rate for 40 meters in 25 hours is [tex]\frac{40}{25}[/tex] = 1.6 meters per hour.
So, the unit rate for 56 meters in 32 hours (1.75 m/h) is greater than the unit rate for 40 meters in 25 hours (1.6 m/h).
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