Question

HELP!

To keep fish in an aquarium healthy, the aquarium must maintain an average water temperature of 67°F. For 14 hours of the day, no hearing is required as the aquarium is naturally at 69°F. However, if left unheated for the remaining hours the temperature would drop to 50°F. How many degrees (during heating hours) should the tank temperature increase to maintain the average temperature?​

Answer 1

Explanation:

To find out how many degrees the tank temperature should increase during the heating hours to maintain the average temperature, we need to calculate the temperature difference between the target average temperature of 67°F and the temperature during the unheated hours (50°F).

The difference in temperature is:

67°F - 50°F = 17°F

Since the heating hours account for the remaining hours of the day, which is 24 hours minus the 14 hours when no heating is required, we have:

24 hours - 14 hours = 10 hours

To maintain the average temperature of 67°F, the tank temperature should increase by 17°F during the 10 hours of heating.

To find the increase per hour, we divide the total temperature increase by the number of heating hours:

17°F / 10 hours = 1.7°F

Therefore, the tank temperature should increase by 1.7°F per hour during the heating hours to maintain the average temperature of 67°F.