Question

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.

Answer 1

$\textrm{average speed} = \dfrac{\text{distance}}{\text{time}}$

$R(h) = \dfrac{D(h)}{T(h)} = \dfrac{-0.5 h + 9.5}{ -5.5 h + 92.5}$

We can multiply top and bottom by -2 to clear the decimals.

$R(h) = \dfrac{ h - 19 }{11h - 185}$

No common factors so we stop here.

Answer 2

Answer:

$R(h) =\frac{D(h)}{T(h)}$

$R(h)=\frac{h-19}{11h-185}$

Step-by-step explanation: