## Functions of Many Variables

Functions with more than one independent variable. y=f(x) => one independent variable. Not just price, but incomes, ect. are independent. z=f(x, y)     Here, z = dependent, x & y = independent. Example: z=100-2x+5y z=3×2-9y z=e2x+3y     Expediential fn. Example 1: z=150-2x-3y X-Intercept  (z=0, y=0) 0= 150-2x-3(0) => x=150/2 =75       (75, 0, 0) Y-Intercept  (x=0, z=0) 0= … Continue reading Functions of Many Variables

## Production Possibilities Frontier

A business produces two products, with 200 labour hours spread between each. Per unit of product 1 requires 4 labour hours. Per unit of product 2 requires 2.5 labour hours. Assuming full employment, the equation is 4x + 2.5y = 200. Here, x represents product 1 and y product 2. Question: (i) Identify the slopes, … Continue reading Production Possibilities Frontier

## Macroeconomic Calculations

In this article we will be discussing economic calculations such as national income (C, I, G), production function (marginal product of labor, marginal product of capital K), nominal and real interest rates, inflation rates, and the unemployment rate covering job finding and separation. It is important to become aware of the different calculations in order … Continue reading Macroeconomic Calculations

## Derivatives & Differentiation – Introduction

“Government regulations generally limit the number of fish taken from a given fishing ground by commercial fishing boats in season.” (Haeussler, Paul, & Wood, 2008) This assumes market failure and that governments can predict fish depletion more accurately than fisheries can, in order to ensure there are adequate levels of fish to be sustainable in … Continue reading Derivatives & Differentiation – Introduction

## Functions, Graphs, & Equations – Examples

Straight Line and Linear Equations The two lines represent the equations 4x-6y=-4 and 2x+2y=6. Because the graphs of 4x-6y=12 and 2x+2y=6 are straight lines, its linear. y=3x+25           y=  f(x) = mx+c   f(x) represents a functional relationship to units sold, not specifying fn explicitly. mx+c  represents a generalized version, m is the coefficient, though m and … Continue reading Functions, Graphs, & Equations – Examples

## Functions, Graphs, & Equations – Introduction

A function is a relation from inputs to possible outputs where each input is related to exactly one output, basically it is a rule that transforms numbers to other numbers. Functions show the relationships between different quantities. A real world example of a function would be taking a particular item say bread and relate it to other objects such … Continue reading Functions, Graphs, & Equations – Introduction

## TedEdChat – A Math Class Makeover – Dan Meyer

Dan Myer discusses the need for a math class makeover, hosted by Catherine Casazza (@mscasazzaIA). He shows math classroom practical exercises which prompt students learning to think about maths in a practical and applied sense. Education in schools is un-directed towards the individual student learning needs and skill levels. Where the math curriculum is not … Continue reading TedEdChat – A Math Class Makeover – Dan Meyer