Question

E

Answer 1

Question:

A charter bus travels 225 miles in  4.5 hours. Assume the  distance travelled is directly  proportional to the time spent.

Write a direct variation equation.

Answer:

$y = 50x$

Step-by-step explanation:

Let:

y =  distance

x = time

So:

$y = 225$  and $x = 4.5$

Since, they are directly proportional: The following relationship exists

$y = kx$

Where

k = constant of variation

Substitute values for y and x

$225 = 4.5 * k$

Make x the subject

$k = \frac{225}{4.5}$

$k = 50$

Substitute 50 for k in $y = kx$

$y = 50x$