Answer each question showing all your work. Watch your time so you are not stuck in the middle of a question when it is submitted.
In submitting this quiz you are agreeing that you have completed this in a honest manner and did not seek and/or help others in its completion.
2 points
2
Question 1
1.
An empty 120-gallon pool is being filled with water from a hose. The water comes in at a constant rate of 4 gallons per minute. The volume of water in the pool is a function of time.
Complete the following table:
2 points
2
Question 2
2.
Use the information from question 1 to graph the function on the grid provided.
2 points
2
Question 3
3.
Is the graph you drew in question two an increasing or a decreasing function? Briefly explain your answer.
2 points
2
Question 4
4.
What is the rate of change or slope (rise/ run) for the function you graphed in question two? Explain what this means in relation to the problem.
2 points
2
Question 5
5.
What is the y-intercept of the function you graphed in question two? Explain what this means in relation to the problem.
2 points
2
Question 6
6.
Use your answers from questions 4 and 5 to write the equation of this function in y = mx+b form.
2 points
2
Question 7
7.
How long will it take to completely fill the pool?
4 points
4
Question 8
8.
Match the function, by drawing a line, on the left with its identical representation on the right. Note: One function on the left will not be used. Clearly explain your reasoning. No credit for guessing.
2 points
2
Question 9
9.
What is the y-intercept for the line graphed below?
2 points
2
Question 10
10.
What is the slope (rise/ run) of the line graphed below?
2 points
2
Question 11
11.
Use your answers from questions 9 and 10 to write the equation of this line in y = mx + b form.
1 point
1
Question 12
12.
Use the coordinate plane to place a point on (4, - 6) and label it point A.
2 points
2
Question 13
13.
Draw a horizontal line through the point (4, –6). What is the equation of this horizontal line?
2 points
2
Question 14
14.
Draw a vertical line through the point (4, –6). What is the equation of this horizontal line?
1 point
1
Question 15
15.
Place a point on (8, 4) and label it point D. Draw a line through (4, – 6) and (8, 4).
2 points
2
Question 16
16.
Find the slope of the line through the two points (4, – 6) and (8, 4). Use: rise/ run and explain how you found it.