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The number of birds (
b. in a park increases when the number of dogs in the park (
d. decreases. Write the correct equation for this scenario and solve for the number of birds when there are 10 dogs.Dogs Birds40 1050 8 b = 4d; b = 40b = 4d; b = 2.5b = 400 over d; b= 4000b = 400 over d b = 40

Respuesta :

Since the two quantities (number or dogs D, number of birds B) are inversely proportional their product is constant:  D*B=k.  In this case we are given 40 dogs and 10 birds or 50 dogs and 8 birds. Therefore k=40*10=50*8=400 and the correct equation would be: D*B=400 which is equivalent to B=400/D.  If there are 10 dogs the birds are: B=400/10=40
MrRoyal

The equation that represents the scenario is bd = 400

How to determine the equation?

From the question, we understand that the number of birds increase, as the count of dogs decrease.

This means that the relationship is an inverse proportion

i.e. b * d = k

Where k is the proportionality constant.

The value of k is calculated as:

k = 40 * 10

k = 400

Substitute k = 400 in b * d = k

b * d = 400

This gives

bd = 400

Hence, the equation is bd = 400

Read more about inverse proportions at:

https://brainly.com/question/6499629

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