Question

Tala Abarkowe NAME PERIOD Unit 2 Lesson 5 Cool Down 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 number of hours, an equation that represents this situation is d = 50t. = 1) What are two constants of proportionality for the relationship between distance in kilometers and number of hours? Due in this s cose lh sud

Answer 1

1. The two constants of proportionality for the relationship between distance in kilometers and number of hours are 50 (kilometers per hour) and 1/50 (hours per kilometer).

2. The relationship between the two constants of proportionality is based on their being reciprocals of each other. In other words, if one constant is x, the other constant is 1/x.

3. Another equation that relates d and t in this context is t = d/50.

The total distance the large bird can fly in 8 hours = 400 kilometers

The total time to cover 400 kilometers = 8 hours

Let the distance in ilometers = d

Let the number of hours = t

Equation: d = 50t

Constants of proportionality for the relationshp between distance in kilometers and number of hours:

d = 50t

Constant of proportionality between distance and time = 50 (50 x 8 = 400 kilometers)

t = d/50

Constant of proportionality between distance and time = 1/50 (400 x 1/50 = 8 hours)

Answer 2

Given relation is

`d=50t`

Here, d is the distance in kilometers and t is the number of hours.

Since distance and time both vary, therefore, they are not constants.

The only value which is fixed is 50.

Therefore, the only constant of proportion is 50.

Since the ratio of two valus are constant, therefore, they are in direct proportional relationship.

From the given relation, we can write

`t=(d)/(50)`

Hence, another relationship between d and t is

`t=(d)/(50)`