2.
2x+2y=3What is the y intercept of the equation above?
Explanation
App - equationlinear - go across to page 1.5
3.
2x+2y=3Rearrange the equation above to General Form? (y=a+bx)
Explanation
App - equationlinear - go across to page 1.5
makesubject will do the same thing
4.
A line has a gradient of 4 and passes through the point (1, 2). What is the equation of the line in General Form? y=a+bx
Explanation
gradpoint
5.
What is the equation for the line above? (y=a+bx)
Explanation
twopoints or intercepts should give the answer
6.
What is the equation for the line above?
Explanation
Apps don't help with vertical and horizontal lines. You have to know them. Vertical is x=, horizontal is y=
7.
What is the point of intersection between the lines that define the two inequalties above?
Explanation
Answer in coordinate form should be (-3, 3). Other variations are INCORRECT, but have not been penalised.
8.
What is the equation of the line that passes through the point (2, 5) and is parallel to the equation y=-0.5x+5?
Explanation
makesubject will give you the parallel gradient - so will equationlinear.
Then - you can use gradpoint to find the equation.
9.
From the graph above, is the origin included in the feasible region?
Explanation
The origin is (0, 0) and it is not coloured in, so, its not in the feasible region.
10.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How much money does WebDev need to make each year before it starts to make a profit?
Correct Answer
$18700
Explanation
Breakeven app ... NOTE ... you must use the Integer values when the data is discrete.
11.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.How many websites does WebDev need to sell each year before it starts to make a profit?
Correct Answer
22
Explanation
Breakeven app ... NOTE ... you must use the Integer values when the data is discrete.
12.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If they make a profit of approximately $30000, how many sites did they sell?
Correct Answer
76
Explanation
Breakeven populates the memory with the retail, fixed and variable costs.
profitloss will then give you the values for profit - units is the number of units sold, profit is the amount of profit made (it can be negative - that's a loss) and Revenue tells you how much money was made before costs.
13.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.If the revenue is $95000 how much profit will they make?
Correct Answer
$49600
Explanation
Breakeven populates the memory with the retail, fixed and variable costs.
profitloss will then give you the values for profit - units is the number of units sold, profit is the amount of profit made (it can be negative - that's a loss) and Revenue tells you how much money was made before costs.
14.
What is the value of 'n' for the graph above?
Correct Answer
3
Explanation
Use your chart - match the shape - look at the value of 'n'
15.
What is the equation for the graph above? (x^2 is x squared)
Correct Answer
y=1/3x^3
Explanation
Use your chart - match the shape - look at the value of 'n'
Then, use the app - pointequ - to plot the point and the value for 'n' - go to page 1.5 for your answer
If you wrote y=0.33x^3, you were close, but should have recognised it was 1/3
16.
What is the value of n for the graph above?
Correct Answer
-1
Explanation
Use your chart - match the shape - look at the value of 'n'
17.
What is the starting time for an athlete who is 13 years old?
Correct Answer
11:00am
11:00 am
Explanation
Note : open circle means this value is NOT included - and you need to go to the next line up.
18.
What is the youngest age a competitor can be who is starting at 10:00am?
Correct Answer
11
11 years
11 years old
Explanation
Note : closed circle means this value IS included
19.
What is the equation for the graph that is formed from the values above?
Correct Answer
y=3/x
Explanation
plotvalues - go to page 1.5 to see what the shape of the graph is. Its a hyperbola so n = -1
pointequ - use the value of n, and one point (1, 3) to solve the y=kxn equation
go to page 1.7 and write out the equation from the top of the page
20.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the revenue equation for this problem, using R as revenue and 'n' as the number of sites sold.
Correct Answer
r=850n
Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs
21.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the cost equation for this problem, using C as cost and 'n' as the number of sites sold.
Correct Answer
C=12000+300n
C=300n+12000
Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs
22.
WebDev is a web building company. It sells websites for $850 per annum.The running costs for the business are $12000 per annum, and each site they sell costs $300 in design and other services.Write the profit equation for this problem, using P as Profit and 'n' as the number of sites sold.
Correct Answer
P=550n-12000
P=-12000+550n
Explanation
Breakeven will give you the equations, simply by putting in the retail, fixed and varied costs