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.

Complete question :

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(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

b = k/d ; 40

Step-by-step explanation:

From the table:

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

The number of birds(b) in a park increases when the number of dogs (d) decreases.

Hence we can infer that an inverse relationship exists between them.

Number of birds(b) ∝ 1 / number of birds

b ∝ 1 / d

b = k/d

k = (b × d)

Where k is the proportionality constant

When d = 40, b = 10

Solve for k

k = (40 * 10)

k = 400

Therefore, number of birds(b), when there are 10 dogs;

b = k/d

k = 400, d = 10

b = 400 / 10

b = 40

40 birds when dogs = 10

7

step-by-step explanation:

were is the equation