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=8.2W
upper D equals 8.2 upper W

D=W8.2

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 need to relate the two variables in such a way that \( W \) is expressed in terms of \( D \).

Given that, on average, 8.2 dogs are adopted per week, if you want to find out how many weeks it takes to adopt \( D \) dogs, you can use the formula:

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

This means for \( D \) dogs, the number of weeks \( W \) would be the total number of dogs divided by the average number of dogs adopted per week.

So, the correct response is:

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

This corresponds to the option:

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