A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?(1 point)

Question

Responses

80 gallons
80 gallons

−80 gallons
negative 80 gallons

−480 gallons
negative 480 gallons

480 gallons

Answer 1

To find the total change in the amount of water in the tank after 6 days, we can follow these steps:

1. Determine the rate of decrease per day:

   • The tank decreases by 10 gallons every 3 hours.
   • There are 24 hours in a day.
   • The number of 3-hour periods in a day is \( \frac{24 \text{ hours}}{3 \text{ hours}} = 8 \) periods.

   Therefore, the total decrease in gallons per day is: \[ 10 \text{ gallons/period} \times 8 \text{ periods/day} = 80 \text{ gallons/day}. \]

2. Calculate the total change over 6 days: \[ 80 \text{ gallons/day} \times 6 \text{ days} = 480 \text{ gallons}. \]

Since the tank is decreasing in water, the total change in the amount of water in the tank after 6 days is: \[ \text{-480 gallons}. \]

Thus, the correct response is: \[ \text{−480 gallons}. \]