Name: Date: Block: Mid-Unit 4 Test Review All work must be shown for full credit.

Transcription

1 Name: Date: Block: Mid-Unit 4 Test Review All work must be shown for full credit. 1) How do you have to walk so the motion detector graphs a straight line? Explain as clearly as you can. 2) What determines the steepness of the lines we created as a class using the motion detector? 3) What determines whether the graph is increasing or decreasing? 4) A B C Of the three graphs; which on best describes the situation: a. Jimmy walked away from his house at a constant rate and then decided to go back towards his house at a slower rate. b. Sarah sat tying her running shoes for a little while and then ran away. 1

2 5) Determine if each table represents a linear function. Explain why or why not. Comment on change in y change in x between coordinate pairs. a. x y Linear Function (Yes / No) Why? b. y = x(3 + x) x y Linear Function (Yes / No) Why? You re selling your famous mac-n-cheese as a fundraiser to go to Florida for April break. You had to spend $200 on supplies to make the mac-n-cheese, and you are charging $4.00 per bowl. Your total profit or loss is a function of how many bowls you sell. 6) What is the independent variable? 7) What is the dependent variable? 8) Fill in the headings and complete the table to the right

3 9) As the number of bowls sold increases, what happens to the total profit or loss? 10) Is this function linear? Explain why or why not. 11) What is the rate of change for this function? What is the real-world meaning of this number? 12) What is the y-intercept of this number? What is the real-world meaning of this number? 13) Write an equation in slope-intercept form to represent the situation. Total profit or loss is a function of the number of bowls sold. 14) Use the equation to find the number of bowls you will need to sell to make at least $ ) How many bowls of mac-n-cheese must you sell in order to break even? 3

4 16) Plot the points from the data in the table. Make sure to label your axes and choose an appropriate scale. 17) The point (115, 260) is on that line. What does the point (115,260) mean in context to the problem? 18) What would happen to the graph if the supplies had cost $420 instead of $200? 19) What would happen to the graph if you sold the bowls of mac-n-cheese for $2 instead of $4? 4

5 20) Plot the point (4,7) and label it A y x 21) Draw a Vertical Line through point A What is the equation of that Vertical Line? 22) Plot the point (8,2) and label it B 23) Find the slope of the line that goes through point A and point B 24) What is the equation of the line which goes through point A and B? 25) Draw a horizontal line through point B. What is the equation of this line? 5

6 26) What is the slope of a line Perpendicular to the line that goes through points A and B? 27) What is the equation of the line perpendicular to the line which points A and B lie on? 5 28) Is the line y x 37 parallel, perpendicular or neither compared to the line that 2 goes through the points A and B? 29) Plot point C (10, 6) 30) What is the equation of the line parallel to the line which points A and B lie on and also goes through point C.? 31) What is the slope of the line which these two points lie on? (5, 12) (-6, 4) 32) The table shows how the number of cricket chirps per minute changes with the air temperature. a. Find the rates of change. b. Is the graph of the data a line? If so, what is the slope? If not, explain why not. 6