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 the two constants of proportionality?

A) Proportionality constants: 50 (d/t) and 8 (t/d)
B) Proportionality constants: 400 (d/t) and 8 (t/d)
C) Proportionality constants: 400 (d/t) and 50 (t/d)
D) Proportionality constants: 50 (d/t) and 400 (t/d)

Answer 1

The constants of proportionality for the provided equation d = 50t, where d is distance and t is time, are 50 (speed of the albatross in km/h) and 0.02 (time in hours to fly 1 km). None of the provided options accurately reflect these constants.

Step-by-step explanation:

The albatross in the question can fly 400 kilometers in 8 hours at a constant speed, which gives us the equation d = 50t, where d represents distance in kilometers and t represents time in hours. The constants of proportionality in this equation would be 50, which represents the bird's speed in kilometers per hour (d/t), and 1/50 or 0.02, which is the time per distance flown (t/d), representing how many hours it takes to fly 1 kilometer. Neither pair of options provided in the question accurately represents these constants of proportionality.