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is y-mx+b a function?

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  • is y-mx+b a function?


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Answer #1 | 05/01 2014 12:01
You will have 4 functions - cost weekly rate1 cost weekly rate2 cost daily rate1 cost weekly rate2 the x variable is miles and y variable is cost. for cost weekly rate 1, the y variable is always 329. It is a constant. Therefore y = 329 is the function for cost weekly rate 1 for cost weekly rate 2, the coordinates are (500, 279), (600, 291), (700, 303), (800, 315), (900, 327) and (1000, 339). We compute the slope as (y2 - y1) / (x2 - x1) = (291 - 279) / (600 - 500) = 12/100 = 3/25 therefore y = (3 / 25)x + b. b here would be 219. Hence y = (3 / 25)x + 219 is function for cost weekly rate 2 *********************************************************** cost daily rate 1 would have the function of y = 350 since its a flat rate. cost daily rate 2 would have the following coordinates - (500, 295), (600, 298), (700, 301), (800, 304), (900, 307) and (1000, 310). likewise the slope here would be (y2 - y1) / (x2 - x1) = (298 - 295) / (600 - 500) = 3/100 so the function would bey = (3 / 100)x + b and b would be 280. Therefore y = (3/100)x + 280 is the function of cost daily rate 2. So in conclusion the functions are -- cost weekly rate 1 is y = 329 cost weekly rate 2 rate is y = (3 / 25)x + 219 cost daily rate 1 is y = 350 cost daily rate 2 is y = (3/100)x + 280
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