SOLUTION: Ashley is driving to New York City. 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 ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Ashley is driving to New York City. 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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Question 640239: Ashley is driving to New York City. 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.
Ashley has 58 miles remaining after 50 minutes of driving. How many miles were remaining after 38 minutes of driving?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot time = t on the horizontal axis
Plot miles remaining = r on the vertical axis
The equation has the form +r+=+-.95t+%2B+r%5B0%5D+
where +r%5B0%5D+ is the value of +r+ at +t+=+0+
given:
+r+=+-.95t+%2B+r%5B0%5D+
+58+=+-.95%2A50+%2B+r%5B0%5D+
+58+=+-47.5+%2B+r%5B0%5D+
+r%5B0%5D+=+105.5+
So, the equation is:
+r+=+-.95t+%2B+105.5+
When +t+=+38+
+r+=+-.95%2A38+%2B+105.5+
+r+=+-36.1+%2B+105.5+
+r+=+69.4+
69.4 miles remained after 38 minutes of driving
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+100%2C+-20%2C+200%2C+-.95x+%2B+105.5+%29+