# SOLUTION: Mary is driving to San Francisco. 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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mary is driving to San Francisco. 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       Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 598472: Mary is driving to San Francisco. 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 -0.9 . Mary has 75 miles remaining after 50 minutes of driving. How many miles will be remaining after 64 minutes of driving? Answer by htmentor(789)   (Show Source): You can put this solution on YOUR website!Mary is driving to San Francisco. 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 -0.9 . Mary has 75 miles remaining after 50 minutes of driving. How many miles will be remaining after 64 minutes of driving? =============================================== The function will have the form d = m*t + d0 where d0 = the distance remaining at t=0 and m is the slope Given: m = -0.9, d=75,t=50 Use this information to solve for d0: 75 = -0.9*50 + d0 d0 = 75 + 45 = 120 So the equation is d = -0.9t + 120 Solve for d when t=64: d = -0.9*64 + 120 d = 62.4 minutes