SOLUTION: A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.15 per gallon but only 800 gallons per hour if it charges $ 2.55 per gallon. Assuming a linear model
(a)
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(a)
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Question 723944: A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.15 per gallon but only 800 gallons per hour if it charges $ 2.55 per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.50 per gallon?
Answer:
what I have so far is y2-y1..x2-x1 1600-800/2.15-2.55 = 800/.4 = 2000 m= 2000
m= 2000 y= 800 x= 2.55 +b 800=2000(2.55) +b (now i'm lost)
(b) What must the gasoline price be in order to sell 1200 gallons per hour?
Answer: $
(c) Compute the revenue taken at the four prices mentioned in this problem -- $ 2.15, $ 2.50, $ 2.55 and your answer to part (b). Which price gives the most revenue?
Answer: $
You can put this solution on YOUR website! Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope
Using point-slope form for a line, and the lower-y point,
(