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Reagen ran 3/4 mile in 1/4 hour. Write Ann equation for the distance in miles y that she ran in x if she ran at a constant rate

User Absessive
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2 Answers

4 votes

Answer:

y = 3x

Explanation:


(y)/(x) =((3/4))/((1/4))


(y)/(x) =(3)/(1)


y=3x

User Rudra Murthy
by
8.2k points
1 vote

Answer:


\boxed{\sf y = 3x }

Explanation:


\sf textsf{ Reagen ran } \sf (3)/(4)\textsf{ mile in }\sf (1)/(4) hour.

In order to write an equation for the distance in miles (y) that she ran in x hours, assuming she ran at a constant rate, we can use the formula for distance:


\sf Distance (y) = Rate (R) * Time (x)

In this case,


\sf textsf{ Reagen ran } \sf (3)/(4)\textsf{ mile in }\sf (1)/(4) hour.

We need to find her rate:


\sf Rate (R) = (Distance )/( Time )

Substitute the value


\begin{aligned} \textsf{Rate(R) } &\sf =( (3)/(4) )/( (1)/(4) ) \\\\&\sf = (3)/(4)* (4)/(1) \\\\ &\sf = 3 mile/hour \end{aligned}

Now that we have her rate (R), we can write the equation for the distance she ran in x hours:


\sf Distance (y) = Rate (R) * Time (x)

Substitute the value:


\sf y = 3x

So, the equation for the distance in miles (y) that Reagen ran in x hours at a constant rate is:


\boxed{\sf y = 3x }

User Vetalitet
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