Mario's unit rate is given by 900 miles/hour.
Explanation:
We have been given that Mario walked at a rate of 2/3 miles every 10 minutes.
We have the relation between speed, time and distance, which is given by
[tex]\text{Speed}= \frac{\text{Distance}}{\text{Time}}[/tex]
We have,
Distance = [tex]\frac{2}{3} \text{ miles}[/tex]
Time = 10 minutes
On substituting these values in the above formula, we get
[tex]\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15}[/tex] \text{ miles/min}[/tex]
We have to find the unit rate in mile per hour, so we need to multiply it by 60
Thus, unit rate is given by
[tex]\frac{1}{15} \times 60\\ = 4 \text{ miles/hour}[/tex]
