Aswimming pool is being drained so it can be cleaned. the amount of water in the pool is changing according to the function f(t) = 80,000-16,000t, where t = time in hours and f(t) = amount of water in liters.

5 hours

Step-by-step explanation:

Given the function

where t is time in hours and f(t) is the amount of water in liter

To find the time needed to drained the entire pool we have to make f(t)=0 and solve the equation for t

So the time needed is 5 hours

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.