If the relation between the number of dogs adopted from a shelter each week shows an average of 8.2 dogs adopted per week, create an inverse relation that shows the number of weeks, W

Question

, over which a given number of dogs, D
, are adopted.(1 point)
Responses

W=8.2D
upper W equals Start Fraction 8.2 over upper D End Fraction

W=D8.2
upper W equals Start Fraction upper D over 8.2 End Fraction

D=W8.2
upper D equals Start Fraction upper W over 8.2 End Fraction

D=8.2W

Answer 1

To create an inverse relation that shows the number of weeks, \( W \), over which a given number of dogs, \( D \), are adopted, we can use the average of 8.2 dogs adopted per week. This means that the number of weeks required to adopt \( D \) dogs can be calculated using the formula:

\[ W = \frac{D}{8.2} \]

This formula indicates that for every 8.2 dogs adopted each week, the number of weeks needed to adopt \( D \) dogs is \( D \) divided by 8.2.

Thus, the correct response is:

\[ W = \frac{D}{8.2} \]

This matches the option:

upper W equals Start Fraction upper D over 8.2 End Fraction