Elsa is driving to New Orleans. 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 -0.75, See the figure below. Elsa has 41 miles remaining after 41 minutes of driving. How many miles will be remaining after 53 minutes of driving? Remaining distance (in miles) 41 41 Driving time (in minutes) miles X 5

Elsa is driving to New Orleans. 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 -0.75, See the figure below. Elsa has 41 miles remaining after 41 minutes of driving. How many miles will be remaining after 53 minutes of driving? Remaining distance (in miles) 41 41 Driving time (in minutes) miles X 5

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Elsa is driving to New Orleans. 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 -0.75. See the figure below.
Elsa has 41 miles remaining after 41 minutes of driving. How many miles will be remaining after 53 minutes of driving?
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Expert Solution

Step 1

Let, d = remaining distance to drive

t = driving time

Let, the linear function relating t and d be given by,

d = mt + c. . . . . . . (1)

Now, the slope of the line is given as - 0.75

i.e., m = -0.75

So, the equation of the line becomes

d = - 0.75t + c . . . . . . (2)

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