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 - 275g t = -15w + 275h t = 275w - 15j t = -275w + 15○ f○ g○ h○ j

Explanation:

Step1: Identify initial amount and rate

The initial amount of water is 275 gallons (this is the y - intercept when we model the situation with a linear function). The rate of decrease is 15 gallons per week, so the slope (rate of change) will be - 15 (negative because the amount of water is decreasing).

Step2: Use slope - intercept form

The slope - intercept form of a linear function is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. In our case, $t$ (the amount of water) is the dependent variable, $w$ (the number of weeks) is the independent variable, $m=- 15$ (since the water is decreasing at 15 gallons per week) and $b = 275$ (the initial amount of water). So the function is $t=-15w + 275$.

Answer:

G. $t=-15w + 275$