Answer:
[tex]\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}[/tex]
Step-by-step explanation:
Noah's running speed = 6 mph.
Use formula [tex]D=v\cdot t,[/tex] where
D is the distance,
v is the speed,
t is the time.
If [tex]t=1[/tex] hour, then [tex]D=6\cdot 1=6[/tex] miles.
If [tex]t=\dfrac{1}{2}[/tex] hour, then [tex]D=6\cdot \dfrac{1}{2}=3[/tex] miles.
If [tex]t=1\dfrac{1}{3}[/tex] hours, then [tex]D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8[/tex] miles.
If [tex]t=1\dfrac{1}{2}[/tex] hours, then [tex]D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9[/tex] miles.
If [tex]t=9[/tex] hours, then [tex]D=6\cdot 9=54[/tex] miles.
If [tex]t=4\dfrac{1}{2}[/tex] hours, then [tex]D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27[/tex] miles.
So, the table is
[tex]\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}[/tex]
Please find attached the answers in the attached diagram
Average speed is the total distance travelled per time.
Average speed = total distance / total time
Noah's average speed is 6mph
From the above formula, the formula to determine miles run is average speed x time
Total miles he ran in 1 hour = 6 x 1 = 6 miles
Total miles he ran in 1/2 hours = 6 x 1/2 = 3 miles
Total miles he ran in 1 1/3 hours = 6 x 4/3 = 8 miles
The formula to determine total time: total distance / average speed
Time it took Noah to run 1 1/2 miles = 3/2 ÷ 6 = 1/4 miles
Time it took Noah to run 9 miles = 9 ÷ 6 = 1 1/2 miles
Time it took Noah to run 4 1/2 miles = 9/2 ÷ 6 = 3/4 miles
Please find attached an image of the table used in answering this question
To learn more about average speed, please check: https://brainly.com/question/9834403?referrer=searchResults
