Look carefully at "200 gallons per minute." Does that tell you the same number of gallons is added each minute, or that the amount added depends on how much water is already in the tank?

As the pump runs, does the volume of water in the tank get bigger or smaller over time?

Once you know whether the volume goes up or down and whether the change each minute is the same amount or changing by a percentage, match that behavior to the best description in the answer choices.

In Desmos, type y = 1000 + 200x, where $x$ represents time in minutes and $y$ represents the volume of water in gallons.

Look at the graph of $y = 1000 + 200x$. Notice whether it is a straight line or a curve, and whether it goes up or down as $x$ increases.

Compare what you see in Desmos (straight vs curved, increasing vs decreasing) with the wording of the answer choices, and select the option that describes that kind of graph.

Let $t$ be the time in minutes the pump has been running, and let $V$ be the volume of water in the tank (in gallons). The question asks about the relationship between $V$ and $t$.

You start with $1{,}000$ gallons. Every minute, the pump adds $200$ gallons.

• After 1 minute: $V = 1000 + 200$.
• After 2 minutes: $V = 1000 + 2\cdot 200$.
• After $t$ minutes: $V = 1000 + 200t$. This has the form "starting amount + (constant rate)·(time)", which would graph as a straight line.

As time passes, you add water to the tank, so the volume gets larger. In the equation $V = 1000 + 200t$, the coefficient of $t$ (the rate) is $+200$, which means the line would slope upward as $t$ increases. So the relationship is increasing over time, not decreasing.

We have a situation where the volume increases over time and follows a straight-line pattern given by $V = 1000 + 200t$ (constant rate of change). Among the choices, this corresponds to A) Increasing linear.