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Donna hikes 1/3 mile every 1/6 hour. Draw a model to show how many miles she hikes in one hour and how much time it takes her to hike 1 mile.

Answer :

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Answer:

Part A) 2 miles

Part B) 1/2 hour

Part C) The model in the attached figure

Step-by-step explanation:

Let

x -----> the number of miles

y -----> the time in hours

we know that

[tex]\frac{x}{y}=\frac{(1/3)}{(1/6)}=2[/tex]

so

[tex]x=2y[/tex] -----> equation A

Part A) Find out how many miles she hikes in one hour

so

For y=1 hour

substitute in the equation A and solve for x

[tex]x=2(1)=2\ miles[/tex]

Part B) Find out how much time it takes her to hike 1 mile

so

For x=1 mile

substitute in the equation A and solve for y

[tex]1=2y[/tex]

[tex]y=\frac{1}{2}\ hour[/tex]

Part C) Draw a model

The double number line in the attached figure

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