The distance and time that Amiliya runs each day depends on the number of hours, h, that she works. The distance, D, in miles, and time, T, in minutes, that she runs are given by the functions D(h)=-0.5h+9.5 and T(h)=-5.5h+92.5. Let R be the average speed that Amiliya runs on a day in which she works h hours.

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Answer:

[tex]R(h) =\frac{D(h)}{T(h)}[/tex]

[tex]R(h)=\frac{h-19}{11h-185}[/tex]

Step-by-step explanation:

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The speed is the distance covered by an object at a particular time. The average speed that Amiliya runs on a day in which she works h hours is R(h)=(-0.5h+9.5)/(-5.5h+92.5).

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given The distance, D, in miles, and time, T, in minutes, that she runs are given by the functions D(h)=-0.5h+9.5 and T(h)=-5.5h+92.5. Therefore, the average speed R is given as,

R(h) = D(h)/T(h)

R(h) = (-0.5h+9.5)/(-5.5h+92.5)

Hence, the average speed that Amiliya runs on a day in which she works h hours is R(h)=(-0.5h+9.5)/(-5.5h+92.5).

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