Question

A monarch butterfly can fly 93 miles and 15 hours assume the distance traveled is directly proportional to the time traveled write and solve a direct variation equation to find how far is a monarch butterfly to travel in 24 hours

Answer 1

Distance traveled is directly proportional to time traveled.

d α t

d = kt, where k is constant of proportionality.

Using d = 93 miles and t = 15 hours

93 = k(15)

15k = 93

k = 93/15 = 6.2

Hence variation equation is: d = kt, since k = 6.2.

d = 6.2t

Distance traveled in 24 hours:

d = 6.2t

d = 6.2*24

d = 148.8

Distance traveled is 148.8 miles.