Word problems of graphing linear functions

Word problems of graphing linear functions

Graphing linear functions can be a useful tool for our everyday life and businesses If we know the functions of the situations, we can simply plug into the variables we have on hand to find the solutions. In this section, we will see how we can apply linear functions in our life to help solve problems related to cost.
Basic Concepts: Representing patterns in linear relations, Solving linear equations by graphing
Related Concepts: Applications of linear relations, Applications of linear equations

Lessons

  • 1.
    The cost to advertise an holiday event is given by the formula: C = 0.5F + 50, where C is the cost and F is the number of flyers to be printed
    i)
    Sketch the graph of C = 0.5F + 50
    ii)
    Calculate the cost of printing 200 flyers
    iii)How many flyers could be printed for 600 dollars?
    iv)State the dependent and independent variables?
  • 2.
    Andy is planning a birthday party for his son. The cost of the party is represented by the equation: 40P - 3C + 800 = 0, where P is the number of people attending and C is the total cost of the party.
    i)
    Graph the cost versus the number of people
    ii) What is the cost of renting the hall?
    iii)What is the cost per person?
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12.
Linear Functions
12.1
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
12.2
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
12.3
Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
12.4
Gradient intercept form: y = mx + b
12.5
General form: Ax + By + C = 0
12.6
Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
12.7
Rate of change
12.8
Graphing linear functions using table of values
12.9
Graphing linear functions using x- and y-intercepts
12.10
Graphing from gradient-intercept form y=mx+b
12.11
Graphing linear functions using a single point and gradient
12.12
Word problems of graphing linear functions
12.13
Parallel and perpendicular lines in linear functions
12.14
Applications of linear relations
NZ Year 10 Maths
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