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Linear functions for business
Linked activity:
Modelling profit and loss with linear and quadratic functions
VisualiserMathematicsYear 9Linear functions for business
A business wants to manufacture soap bars. Before they start production, they need to make sure they can make a profit with the materials and labour force they have. Their accountant has given them a cost and revenue equations.
Cost: y=0.85x+5,000
Revenue y=1.55x
What do x and y represent in each equation? The first one has been completed for you.
Equation type
x represents
y represents
Revenue equation
Number of soap…
WorksheetMathematicsYear 9Introduction to quadratic functions
Linked activity:
Modelling profit and loss with linear and quadratic functions
VisualiserMathematicsYear 9Applying quadratics to business
Linked activity:
Modelling profit and loss with linear and quadratic functions
VisualiserMathematicsYear 9Quadratic functions
Define the following terms in your own words.
Vertex
Line of symmetry
Parabola
Minimum
Maximum
Identify the leading coefficient, middle coefficient and constant in the following functions.
f(x)=x2-4x+4
f(x)=2x2+12x+50
f(x)=2x2+12x+40
f(x)=-x2-3x+4
f(x)=x2-20x+77
f(x)=2x2-5x+7
Question
Leading coefficient
Middle coefficient
Constant
a…
WorksheetMathematicsYear 9Simple versus compound interest
You can either pay or earn interest depending on whether you are borrowing or investing money. The amount of interest you pay or earn depends on the interest rate and the amount of money you borrowed or invested at the outset, or the principal. Interest can be calculated in two ways: simple interest or compound interest.
Simple interest is calculated on the principal, or original, amount of a loan or investment.
Compound interest is calculated…
ExplainerMathematicsYear 10Representing linear and exponential growth
Linked activity:
Simple versus compound interest
VisualiserMathematicsYear 10Growing your money
You have $600 to invest and have 2 options:
Compound Investment
Compound interest rate: 6% per year.
Simple Investment
Simple interest rate: 7% per year
You decide to invest $300 in each account. How much will you have in each account at the end of each year? Show your working.
Years
Value at Compound Investments ($)
Value at Simple Investments ($)
0
300.00
300.00
1
2…
WorksheetMathematicsYear 10