Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. ( 1 mile \( =5,280 \) feet)

To determine how many miles Kenji walks in an hour, we'll follow these steps: 1. **Calculate Kenji's speed in feet per second.** 2. **Convert that speed to feet per hour.** 3. **Convert feet per hour to miles per hour.** Let's go through each step in detail. --- ### 1. Calculate Kenji's Speed in Feet per Second Kenji walks **44 feet** in **10 seconds**. To find his speed in feet per second (ft/s), use the formula: \[ \text{Speed (ft/s)} = \frac{\text{Distance (feet)}}{\text{Time (seconds)}} \] \[ \text{Speed} = \frac{44\, \text{feet}}{10\, \text{seconds}} = 4.4\, \text{ft/s} \] --- ### 2. Convert Speed to Feet per Hour There are **60 seconds** in a minute and **60 minutes** in an hour, so there are: \[ 60 \times 60 = 3,600\, \text{seconds} \text{ in one hour} \] Multiply Kenji's speed by the number of seconds in an hour to find out how many feet he walks in one hour: \[ \text{Feet per hour} = 4.4\, \text{ft/s} \times 3,600\, \text{seconds/hour} \] \[ \text{Feet per hour} = 15,840\, \text{feet/hour} \] --- ### 3. Convert Feet per Hour to Miles per Hour We know that **1 mile = 5,280 feet**. To convert feet per hour to miles per hour (mph), divide the total feet by the number of feet in a mile: \[ \text{Miles per hour} = \frac{15,840\, \text{feet/hour}}{5,280\, \text{feet/mile}} \] \[ \text{Miles per hour} = 3\, \text{mph} \] --- ### **Conclusion** Kenji walks **3 miles** in one hour.