Question

A bus is traveling 500 miles at a constant speed of 55 miles per hour. Which graph represents n , the number of miles REMAINING on the trip, as a function of t , the number of hours traveled?

Answer 1

Using a linear function, the graph for the amount remaining of the trip is given at the end of this answer.

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The linear function that models the distance remaining is given by:

$D(t) = D(0) - vt$

In which

• D(0) is the total distance.
• v is the velocity.

In this problem:

• 500 miles, thus $D(0) = 500$
• 55 miles per hour, thus: $v = 55$

The time it takes is:

$t = \frac{d}{v} = \frac{500}{55} = 9.09$

Thus, the function is:

$D(t) = 500 - 55t, 0 \leq t \leq 9.09$

The graph is given at the end of this answer.

A similar problem is given at brainly.com/question/16643850