Question 890210: Laura is driving to Miami. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. Laura has 45 miles remaining after 46 minutes of driving. How many miles will be remaining after 60 minutes of driving?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Laura is driving to Miami. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. Laura has 45 miles remaining after 46 minutes of driving. How many miles will be remaining after 60 minutes of driving?
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Graph takes the form: y=mx+b, m=slope=-0.95
solve for b using given point on the line, (46,45)
45=-0.95*46+b
b=88.7
equation: y=-0.95x+88.7
After 60 min of driving:
y=-0.95*60+88.7
y=31.7
How many miles will be remaining after 60 minutes of driving? 31.7
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