Question

a water tank currently contains 275 gallons of water. the amount of water in the tank will decrease at a constant rate of 15 gallons per week. which function can be used to find t, the total number of gallons of water in the tank after w weeks? f t = 15w - 275 g t = -15w + 275 h t = 275w - 15 j t = -275w + 15 f g h j

Explanation:

Step1: Identify the initial amount and rate of change

The initial amount of water in the tank is 275 gallons. The amount of water decreases at a rate of 15 gallons per week. So, the rate of change (slope) is -15 (negative because it's decreasing), and the initial value (y-intercept) is 275.

Step2: Use the slope-intercept form of a linear equation

The slope-intercept form of a linear equation is $t = mw + b$, where $m$ is the slope and $b$ is the y-intercept. Substituting $m = -15$ and $b = 275$ into the equation, we get $t = -15w + 275$.

Answer:

G. $t = -15w + 275$