Question

danika runs an adoption shelter for dogs. she adopts out twenty - four dogs over a three - day weekend to new homes.
the following equation is written to represent the situation: $-24div3 = -8$.
which of the following best explains the meaning of $-8$ in the equation?
a the total dog population in the shelter decreased by a total of 8 dogs over the three - day weekend.
b the dog population in the shelter increased by an average of 8 dogs each day of the three - day weekend.
c the dog population in the shelter decreased by an average of 8 dogs each day of the three - day weekend.
d the dog population in the shelter is considered $-8$ because danika did not have enough dogs to adopt out to families over the three - day weekend.

Explanation:

Step1: Analyze the equation

The equation \(-24\div3 = -8\) represents the situation where Danika adopts out (which means a decrease in the shelter's dog population) 24 dogs over 3 days.

Step2: Interpret the result

The division \(-24\div3\) gives the average change per day. Since the total change (\(-24\)) is negative (decrease in population) and we are dividing by the number of days (3), the result \(-8\) represents the average decrease per day.

Answer:

C. The dog population in the shelter decreased by an average of 8 dogs each day of the three - day weekend.