Answer:
Unit rate defined as the rates are expressed as the quantity as 1 such as 2 miles per hour or 3 meters per second.
Given the statement: Lea walked 1/2 miles in 1/3 hours
\(\text{Unit rate per miles} = \frac{\text{Number of hours}}{\text{Number of miles}}\)
Substitute the given values we get;
\(\text{Unit rate per miles} = \frac{\frac{1}{3}}{\frac{1}{2}}\)
Simplify:
\(\text{Unit rate per miles}=\frac{2}{3}\)
Now, find the number of hours it take Lea to walk \(2\frac{1}{4}\) miles.
Number of miles = \(2\frac{1}{4}=\frac{9}{2}\)
By definition of unit rates;
\(\text{Number of hours}= \text{Unit rate per miles}\times \text{Number of miles}\)
Substitute the values we get;
\(\text{Number of hours} = \frac{2}{3} \times \frac{9}{4} = \frac{3}{2} = 1\frac{1}{2}\)
therefore, \(1\frac{1}{2}\) hours it will take Lea to walk \(2\frac{1}{4}\) miles.
