The equation is y=9/5x + 50. The y-intercept $50 represents the delivery charge.
Step-by-step explanation:
Form a table to represent the value of cost(y) with corresponding value of weight (x)
Weight (x) kg Cost (y) $
100 230
150 320
These values can be used to represent ordered pairs of coordinates (x,y) to be plotted on the graph tool. This is ; (100,230) and (150,320). Connecting the two points with a straight edge forms a linear graph as shown in the attached file.
Using the linear graph, you can find the equation of the line
Finding the slope,
m=Δy/Δx
m=320-230/150-100
m=90/50 =9/5
Finding the equation with m=9/5 and point (100,230)
m=Δy/Δx
9/5=y-230/x-100
Performing cross-multiplication
9(x-100)=5(y-230)
9x-900=5y-1150
9x=5y-1150+900
9x=5y-250
9x+250=5y
9/5x +50 =y
Equation is ⇒⇒y=9/5x + 50
The y-intercept is 50 which is the delivery charge
The x-intercept -28 means that the cost is charged for weight greater or equal to zero.
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Keyword : Linear equations
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