Question

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
y= x/6.4
y= x/160
y= 6.4/x
y= 160/x​

Answer 1

Answer:

$y=\frac{x}{6.4}$

Step-by-step explanation:

The complete question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem, we have a proportional relationship between the average speed (x) and the time (y)

Find the constant of proportionality k

Fox =32, y=5

$k=\frac{5}{32}$

substitute

$y=\frac{5}{32}x$

we have

$\frac{5}{32}=\frac{1}{6.4}$

therefore

$y=\frac{x}{6.4}$

Answer 2

Answer:

the answer is D, y= 160/x

Step-by-step explanation: