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:
Use the information from question 1 to graph the function on the grid provided.
Is the graph you drew in question two an increasing or a decreasing function? Briefly explain your answer.
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.
What is the y-intercept of the function you graphed in question two? Explain what this means in relation to the problem.
Use your answers from questions 4 and 5 to write the equation of this function in y = mx+b form.
How long will it take to completely fill the pool?
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.
What is the y-intercept for the line graphed below?
What is the slope (rise/ run) of the line graphed below?
Use your answers from questions 9 and 10 to write the equation of this line in y = mx + b form.
Use the coordinate plane to place a point on (4, - 6) and label it point A.
Draw a horizontal line through the point (4, –6). What is the equation of this horizontal line?
Draw a vertical line through the point (4, –6). What is the equation of this horizontal line?
Place a point on (8, 4) and label it point D. Draw a line through (4, – 6) and (8, 4).
Find the slope of the line through the two points (4, – 6) and (8, 4). Use: rise/ run and explain how you found it.