The track at Oak Middle School is 14 of a mile for each lap. Jacob walked around the track and completed 7 laps in 30 minutes.
What is the unit rate of Jacob's speed?
Answer Choices
1.75 miles per hour
3.5 miles per hour
4.28 miles per hour
14 miles per hour
Do you mean that the track is 1/4 of a mile around?
I DONT NOW
To find the unit rate of Jacob's speed, we need to divide the total distance he walked by the total time it took him.
The total distance Jacob walked is given by the number of laps multiplied by the length of each lap. In this case, Jacob completed 7 laps and each lap is 1/4 of a mile (since 1/4 is the same as 14/100 or 0.14). So the total distance Jacob walked is:
Total distance = 7 laps x (1/4 mile per lap) = 7/4 miles
The total time it took Jacob to complete the 7 laps is given as 30 minutes.
Now, we can find the unit rate by dividing the total distance by the total time:
Unit rate = Total distance ÷ Total time = (7/4) miles ÷ 30 minutes
Before we can find the unit rate, we need to convert the time from minutes to hours since the unit rate is usually expressed in something per hour. We know that there are 60 minutes in 1 hour, so we can divide the time in minutes by 60 to get the time in hours:
30 minutes ÷ 60 minutes per hour = 0.5 hours
Now, let's plug the values into the equation for the unit rate:
Unit rate = (7/4) miles ÷ 0.5 hours
Simplifying the equation gives us:
Unit rate = (7/4) miles ÷ 0.5 hours = 14/4 miles per hour = 3.5 miles per hour
Therefore, the unit rate of Jacob's speed is 3.5 miles per hour, so the correct answer choice is 3.5 miles per hour.