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The monthly charge for a waste collection service is 240 dollars for 100 kg of waste and 330 dollars for 145 kg of waste(a) Find a linear model for the cost, C. of waste collection as a function of the number of kilograms,wC=(b) What is the slope of the line found in part (a)?Slope=Think about the interpretation of a slope are the units of the slope : A. dollarsB. kilograms per dollarC. kilogramsD. dollars per kilogram(c) What is the value of the vertical intercept of the line found in part (a)?Vertical intercept=Think about the interpretation of the intercept: are the units of the intercept: A. kilogramsB kilograms per dollarC dollarsD dollars per kilogram

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Solution

Part a

[tex]m=\frac{330-240}{145-100}=2[/tex]

The the function is:

240 = 2*100+b

b= 240-200 =40

C= 2w + 40

Part b

Slope=2

D. dollars per kilogram

Part 3

Vertical intercept= 40

C. dollars

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