Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

Answer:
b
Step-by-step explanation:
If the value on axes are not corret
Answer:
2.5
Step-by-step explanation:
The average rate of the function f(x) from x=a to x=b is given by:

From the question, the exponential function goes through (0,30) and (20,80).
This implies that f(0)=30 and f(20)=80
Therefore the average rate of change from x = 0 to x = 20 is



The second choice is correct