## A mocking bird flies a distance of 24 feet in 3 seconds. Another mocking bird flies a distance of 40 feet in 5 seconds.

Question

A mocking bird flies a distance of 24 feet in 3 seconds. Another mocking bird flies a distance of 40 feet in 5 seconds.

This situation

Select Choice

a proportional relationship because

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.choice are represented or not
choice for different one both have the ratio 8second to 1 foot or 8 foot to one second or ratio that are not the same.

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13 mins 2023-01-08T22:40:19+00:00 1 Answer 0 views 0

1. we conclude that the given situation can be modeled with a proportional relationship because both have the ratio 8 ft to one second.

### Is the given relation proportional?

Remember that a proportional relationship between two variables is written as:
y = k*x
Where k is the constant of proportionality.
Let’s define x as the time and y as the distance, the given situation is proportional if we get the same constant of proportionality for the two pairs of values given.
The first pair is 24 feet in 3 seconds, then:
24 ft = k*3s
(24 ft/3s) = k =8 ft/s
The second pair is 40 ft in 5 seconds, then:
40ft = k*5s
40ft/5s = k = 8ft/s
Then we conclude that the given situation can be modeled with a proportional relationship because both have the ratio 8 ft to one second.