Question

A water tank contains 372 gallons of water. the amount of water in the tank will decrease at a constant rate of 18 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

Answer 1

The function to find the total number of gallons of water left in the tank after a number of weeks is a linear function, expressed as t(w) = 372 - 18w. Here, t is the total gallons left, and w is the number of weeks.

Step-by-step explanation:

The function that can be used to find t, the total number of gallons of water in the tank after w weeks given that the water tank contains 372 gallons of water and decreases at a constant rate of 18 gallons per week, is a linear function. This function can be represented as t(w) = 372 - 18w. Here, 372 represents the initial amount of water in the tank, and 18 represents the rate at which the water is decreasing every week. The variable w indicates the number of weeks that have passed.

Step-by-step, to use this function you would:

1. Identify the initial amount of water in the tank (372 gallons).
2. Determine the rate of decrease per week (18 gallons/week).
3. Plug in the number of weeks you want to check for (w) into the function.
4. Perform the subtraction to find the total amount of water left in the tank after the specified number of weeks.