Solutions can be found by pressing ‘hint’
0 of 5 Questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 5 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score |
|
Your score |
|
Pos. | Name | Entered on | Points | Result |
---|---|---|---|---|
Table is loading | ||||
No data available | ||||
A computer application was used to draw the graphs of the equations
x−y=4 and x+y=4
Part of the screen is shown.
What is the solution when the equations are solved simultaneously?
Solution occurs at the intersection of the two
lines.
⇒A
The graph of the line with equation y=6−2x is shown.
When the graph of the line with equation y=x+3 is also drawn on this number plane, what will be the point of intersection of the two lines?
Solution 1
From graph, intersection at (1,4)
⇒B
Solution 2
y =6−2x … (1)
y =x+3 … (2)
Substitute (2) into (1)
x+3 =6−2x
3x =3
x =1
When x=1,y=4
⇒B
A computer application was used to draw the graphs of the equations
x+y=4 and x−y=4
Part of the screen is shown.
Which row of the table correctly matches the equations with the lines drawn and identifies the solution when the equations are solved simultaneously?
Line 1: x+y=4
Line 2: x−y=4
Intersection at (4,0)
⇒A
A function centre hosts events for up to 500 people. The cost C, in dollars, for the centre
to host an event, where x people attend, is given by:
C=10 000+50x
The centre charges $100 per person. Its income I, in dollars, is given by:
I=100x
How much greater is the income of the function centre when 500 people attend an event, than its income at the breakeven point?
When x=500, I=100×500=$50 000
Breakeven when x=200 (from graph)
When x=200, I=100×200=$20 000
Difference =50 000−20 000
=$30 000
⇒C
George drew a correct diagram that gave the solution to the simultaneous equations
y=2x−5 and y=x+6.
Which diagram did he draw?
By elimination
y=2x−5 cuts the y-axis at −5
∴ Cannot be A or B
y=x+6 cuts the y-axis at 6
AND has a positive gradient
∴ Cannot be C
⇒ D