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
[tex]\text{Unit rate per miles} = \frac{\text{Number of hours}}{\text{Number of miles}}[/tex]
Substitute the given values we get;
[tex]\text{Unit rate per miles} = \frac{\frac{1}{3}}{\frac{1}{2}}[/tex]
Simplify:
[tex]\text{Unit rate per miles}=\frac{2}{3}[/tex]
Now, find the number of hours it take Lea to walk [tex]2\frac{1}{4}[/tex] miles.
Number of miles = [tex]2\frac{1}{4}=\frac{9}{2}[/tex]
By definition of unit rates;
[tex]\text{Number of hours}= \text{Unit rate per miles}\times \text{Number of miles}[/tex]
Substitute the values we get;
[tex]\text{Number of hours} = \frac{2}{3} \times \frac{9}{4} = \frac{3}{2} = 1\frac{1}{2}[/tex]
therefore, [tex]1\frac{1}{2}[/tex] hours it will take Lea to walk [tex]2\frac{1}{4}[/tex] miles.
