Question
1.The revenue function for a company is R(x) = $20x -500. Fixed costs are 300 and the unit cost is $10. Determine the cost function.*
1.The revenue function for a company is R(x) = $20x -500. Fixed costs are 300 and the unit cost is $10. Determine the cost function.*
A 10x + 300
B 300x + 10
10x - 300
300x - 10
2.The revenue function for a company is R(x) = $20x -500. Fixed costs are 300 and the unit cost is $10. What is the profit function? *
10x + 800
10x - 200
30x + 800
10x - 800
3.The revenue function for a company is R(x) = $20x -500. Fixed costs are 300 and the unit cost is $10. Determine the profit when 200 units are sold.*
$1200
$2800
$6800
$1800
4.The revenue function for a company is R(x) = $20x -500. Fixed costs are 300 and the unit cost is $10. How many units must be sold for the company to break - even? *
80
8
800
10
5.What is the gradient of the line y = x+3?*
1
-1
3
0
6..The straight line with gradient 2/5 and y intercept -4 is *
y = -4+2/5x
y - 5/2x =4
y+ 2/5x = -4
y = 2/5x +4
7.Find the gradient of the line joining the points A(-2 , 5) and B(3 , 7).*
-5/2
-2/9
2/5
9/2
Option 2
8.Find the gradient of the line perpendicular to y = 3x - 6 *
3
-3
1/3
-1/3
9.What is the equation for the line that is parallel to y = 3x + 23, and passes through the point (1 , 4)?*
y=-1/3x + 13/3
y=3x - 2
y= 3x - 7
y= 3x- 7
8.Determin the y- intercept of a straight line passing through the point (4 ,-8) and has a gradient of -2/5.*
9 3/5
-6 2/5
-9 3/5
6 2/5
9.A line of gradient 1/3 passes through the point (0 , 3). An equation of the line is:*
y= 1/3 x + 3
y= 1/3 x
y= 3x
y= -3x + 3
10.At which point does the graph of 4x - 3y + 3 = 0, cuts the y - axis?
(0,3)
(-1,0)
(0,1)
(1.0)
11.A straight line passes through the points P (2 , 1) and Q (-14 , 5). What is the equation of AQ*
y= -4x + 6
y= -2x - 6
y= -1/4 x + 3/4
y= 1/4 x + 2
12.Given the equation of a straight line -5x - 2y = 4, what is the gradient of the line?*
-5
5/2
-5/2
2/5
13.If the equation of a straight line is 8y - 6x = 10, what is the y-intercept?*
10
3/4
4/5
5/4
14. Given the equation of the straight line y -3x = -5x + 7, what is the gradient of the line?*
-8
-5
-3
-2
15 .The liney = mx + c passes through the points (3 , 7) and (5 , 13). What are the values of m and c?*
m = 2, c = 5
m = 3, c = -2
m = 4, c = 8
m = 7, c = 20
16.Costs that must be paid regardless of how much of a good or service is produced. They do not change in the short term, regardless of output are called *
variable costs
total costs
fixed costs
the selling price
17.Fixed Cost + Variable Cost =*
Fixed costs
Breakeven point
Total costs
Variable cost
18. A negative difference between the revenues taken in by a business and the costs of operating a business:*
Profit
Loss
Break-even
Closed
19.Given the points A(2 , 5) and B(3 , 6), what is the mid-point of the straight line AB?*
(3.5 , 4.5)
(2.5 , 5.5)
(4 , 4)
(-1 , _1)
20.A company that makes chairs has fixed costs of $600 and variable cost of $18 per chair. The company plans to sell the chairs for $30 each. What is the cost function?*
C(x) = 21x + 6000
C(x) = 18x + 6000
C(x) = 30x + 6000
C(x) = 48x + 6000
21.A company that makes chairs has fixed costs of $600 and variable cost of $18 per chair. The company plans to sell the chairs for $30 each. What is rge revenue function.*
R(x) = 12x
R(x) = 18x
R(x) = 30x
R(x) = 48x
22..The cost function for a certain company is C(x) = 5600 + 23x and the revenue function is R(x) = 35x. What is the cost associated with the production of 200 units.*
$15600
$12600
$10200
$8000
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