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Question 108690: A taxicab ride that is 2 miles long cost $7. One that is 9 miles long costs $24.50. Write an equation relating cost to length of ride. and what do the slope and the y-intercept mean in this equation?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A taxicab ride that is 2 miles long cost $7. One that is 9 miles long costs $24.50. Write an equation relating cost to length of ride. and what do the slope and the y-intercept mean in this equation?
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You have two points: (2,7) and (9,24.5)
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slope = [24.5-7]/[9-2] = 17.5/7
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Equation form is cost = (slope)(distance) + b
Substitute cost = 7, slope = 17.5/7, distance = 2 to solve for "b":
7 = (17.5/7)2 + b
b = 7 - (35/7)
b = 2
EQUATION:
cost = (2)(distance) + 2
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slope means cost increases 17.5 dollars for every 7 mile increase in distance
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y-intercept = 2 means the meter is set at $2 at 0 distance.
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Cheers,
Stan H.
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