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

Select Choice

.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.

Question

37736035 37736035

23-08-2022
Mathematics

contestada

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

Select Choice

.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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facundo3141592 facundo3141592 · Answer 1 · 2022-08-24T20:05:22+02:00

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.

If you want to learn more about proportional relationships:

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