Question

F(t) = -0.35t + 50

Isaac filled up his kitchen sink with 50 quarts of soapy water. When finished, he pulled the plug, and the water drained out. What does the function f(t) represent?

A) Remaining water in the sink
B) Amount of soap used
C) Rate of draining
D) Time taken to fill the sink

Answer 1

The function f(t) = -0.35t + 50 models the amount of remaining water in the sink as it drains over time.

Step-by-step explanation:

The function f(t) = -0.35t + 50 represents the remaining water in the sink (A) as a function of time t, where t is the time in minutes after Isaac has pulled the plug. Since the initial value of the function is 50, this corresponds to the initial volume of water in the sink. As time passes, the function decreases by 0.35 for each minute that goes by, representing the water that drains out over time.