Complete the Quiz Below
0 of 7 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 7 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 company manufactures phones. The company’s income equation and cost equation are drawn on the same graph.
Which region of the graph is the profit zone?
Region X has income higher than cost and so the company makes a profit.
What is the equation of the line l?
gradient m = -2/1 = –2
y-intercept b = 2
As y = mx + b, then line is y = –2x + 2
A function centre hosts events 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?
Breakeven point is 200 people.
Income if 500 people = $50 000
Income if 200 people = $20 000
Difference = $50 000 – $20 000
= $30 000
The value of E varies directly with the square of S.
It is known that E = 20 when S = 10.
What is the value of E when S = 40?
Using E = kS^2, and subs E = 20, S = 10:
20 = k(10)^2
100k = 20
k = 20.100
k = 0.2
Using E = 0.2S^2, and subs S = 40:
E = 0.2(40)2
= 320
Which of the following graphs best describes the equation y = x^3 + 1?
The diagram shows the graph of an equation. Which of the following equations does the graph best represent?
The graph is a parabola and so the equation is a quadratic.
Therefore, y = 3x^2 + 1
Leanne wants to build a rectangular vegetable garden in her backyard. She has 20 metres of fencing and will use a wall as one side of the garden. The plan for her garden is shown, where x metres is the width of her garden. Which equation gives the area, A, of the vegetable garden?
length + 2 × width = fence
length + 2x = 20
length = 20 – 2x
Therefore, Area = length × width
= (20 – 2x) × x
= x(20 – 2x)
= 20x – 2x^2
Therefore, A = 20x – 2x^2