Cont Math
vickii
cont_math.docx1. The slope represents the speed of the person in feet per hour. The graph is such that the distance is on the vertical axis while time is on the horizontal axis. The slope is the change in distance with time i.e. y/x (ft/hr). The graph is useful in that it gives a relation between the distance covered and the time taken to cover the same, thus providing the speed of the person .
Example for my colleagues
Imagine that a line on the Cartesian graph is the speed of a vehicle; say 20 miles/hr covered in 3 hrs. What does the slope of graph represent?
***Regarding #1 Imagine that a line on the Cartesian graph is the speed of a vehicle; say 20 miles/hr covered in 3 hrs. What does the slope of graph represent?
Real life situation to illustrate a line with no y or x intercept:
The change of water level in tank whose feed pipe is same as the outlet pipe, when the two pipes are simultaneously operated. In such a case, the water level (in liters) will not change with time. Such a line will be horizontal if the plot is such that amount of water in liters is in the vertical axis. If plotted otherwise, it will be a vertical line. If the tank initially had some water, the scenario will apply perfectly. However if there was no water initially, the line will pass over y=0 and x=0 respectively, therefore making intercepts with these lines.
*******Regarding # 2 question
If the line has no y-intercept, we know that it has a constant x-value and thus, it is vertical. It does not necessarily mean that the line passes through the origin (0, 0). Does this make sense?
A line with fixed value of x = 3 or the one with a fixed value of x = 10 are both vertical and have various values for y.
What would be a real life situation for a vertical line and a horizontal line?
3. What are three important things you learned this week from the materials? (Using the intercepts of a linear function, the slope of linear function, linear equation using data, linear functions in real-world applications and identifying representations of functions)
Show how what you learned is applicable or relevant to your job? Give examples (Trucking Job-Bookkeeper.
4.
What is the slope of line A?
A. -2
B. ½
C. -1/2
D. 2
5.
What is the y-intercept for Line A?
A. (0, ½)
B. (1/2, 0)
C. (0, -1)
D. (-1, 0)
6. A line passes through the points (-10, -4) and (-1, 2). What is the slope of the line that passes through the two points?
A. 9/2
B. 2/9
C. 3/2
D. 2/3
7. A line passes through the points (-10, -4) and (-1, 2). What is the y-intercept of the line?
A. (0, 8/3)
B. (8/3, 0)
C. (0, -4)
D. (-4, 0)
8. Which line is perpendicular to the line y = 3x/4 + 8?
A. y= 3/4x – 8
B. y= -3/4x + 8
C. y= 4/3x + 7
D. y= -4/3x + 7
9. Which set of points are on the line y = 6x - 7?
A. {(0, -7), (23, 5)}
B. {(0, -7), (5, 23)}
C. {(-7, 0), (23, 5)}
D. {(-7, 0), (5, 23)}
Consider the following graph:
10.
What is the domain of the function?
A. (0, 3)
B. (0, 9)
C. [0, 3]
D. [0, 9]
Consider the following graph:
11.
What is the range of the function?
A. [0, 9]
B. (0, 9)
C. [0, 3]
D. (0, 3)
12. Consider the following graph:
What are the minimum and maximum x-values of the function?
A. Minimum is 0, maximum is 9
B. Minimum is 0, maximum is 3
C. Minimum is 3, maximum is 9
D. There are no minimum or maximum x-values.
13. In a coordinate plane, the points (2, 4) and (3, -1) are on a line. Which of the following must be true?
A. The line rises from the lower left to the upper right
B. The line is parallel to the y-axis.
C. The line crosses the x-axis
D. The line stays above the x-axis at all times
E. The line passes through (0, 0).
14. Which of the following is an equation of a line that passes through the point (0, 5) and has a negative slope?
A. y = -5x – 5
B. y = -5x + 5
C. y = 5x + 5
D. y = 5x – 5
E. y = 5x
15. A plumber charges customers $48 for each hour worked plus an additional $9 for travel. If 6h represents the number of hours worked, which of the following expressions could be used to calculate the plumber's total charge in dollars?
A. 48 * 9 * h
B. (48 * 9) + h
C. 48 + (9 * h)
D. (48 * h) + 9
E. 48 + 9 + h
16. The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true?
A. It is emptying at a rate of 16 gallons per hour.
B. It is emptying at a rate of 800 gallons per hour.
C. It is filling at a rate of 800 gallons per hour.
D. It is filling at a rate of 50 gallons per hour.
E. It is emptying at a rate of 50 gallons per hour.
