Question

the level of water in a tub is 11 inches. the tub is draining at the rate shown in the graph of the linear function. what point on the graph shows us that the tub is empty?
options:
the y - intercept at (0,7)
the x - intercept at (7,0)
the x - intercept at (0,7)
the y - intercept at (7,0)

Explanation:

Step1: Define variables

Let $x$ = time (units), $y$ = water level (inches).

Step2: Identify empty condition

Tub is empty when $y=0$. This is the x-intercept (where line crosses x-axis, $y=0$).

Step3: Match to graph/options

The graph's x-intercept is $(7,0)$, where water level $y=0$.

Answer:

The x-intercept at (7,0)