Question

Dina discovered a water leak in her basement and called a plumber to fix and drain it. W(t) the amount of water in the basement (in liters) t hours since the leak began. Match each statement with the feature of the graph that most closely corresponds to it. NEED HELP ASAP

Answer 1

Answer:

x-intercept: The plumber drained all the water out after 9 hours.

Relative maximum or minimum: The amount of water reached 70 liters before the draining began.

Increasing or decreasing interval: Over the first 5 hours, the leak just got bigger and bigger.

Step-by-step explanation:

W(t) is the amount of water in the basement. When W(t) = 0, there is no water in the basement. When W(t) = 0, W(t) is a x-intercept. So, x-intercept: The plumber drained all the water out after 9 hours.

The water level gets to a relative maximum after about 5 hours, when the water reaches about 70 liters. So, relative maximum or minimum: The amount of water reached 70 liters before the draining began.

The water level keeps increasing until the relative maximum. That is at 5 hours when the water level is 70 liters. After that point, the water level decreases as the water is being drained until the water level is 0 at 9 hours. So, the increasing or decreasing interval: Over the first 5 hours, the leak just got bigger and bigger.

Hope this helps!