Question

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for the number of hours ,an equation that represents this situation is d = 50t. What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values? Write another equation that relates d and t in this context.

Answer 1

Explanation:

Speed = distance/time

V = d/t

Given

Distance = 400km

Time = 8hours

Substitute into the formula

v = 400/8

v = 50

Substitute v = 50 back into the formula above;

50 = d/t

Cross multiply

d = 50t

From the equation, it means that the distance is directly proportional to t where 50 is the constant of proportionality

The constant of proportionality is 50

The distance is DIRECTLY proportional to the time

The equation can also be written as

t = d/50