Question

On July 26, 2005, it rained a record

37 inches in Mumbai, India, in a 24-hour
period. Which equation of direct
variation relates the number of inches
of rain y to the number of hours x?
F. y=24/37x
G.y=37/24x
H.y=24x
J.y=37x

Answer 1

G. y = 37/24x

Direct variation means that the number of inches of rain (y) is directly proportional to the number of hours (x). In this case, 37 inches of rain fell in a 24-hour period. To find the constant of proportionality, divide the total inches of rain by the total hours:

k = 37 inches / 24 hours

Now, we can write the equation of direct variation:

y = kx

Substitute the value of k:

y = (37/24)x