The distance in miles of a motoris from her destination is given by the function d(t)= 468-65t, where d(t) is the distane and t is the time she has been traveling in hours. How long has the motorist been traveling when she is 299 miles from her destination?

The motorist has been traveling for 2.6 hours or 2 hours 36 minutes

Step-by-step explanation:

Here, we want to calculate how long a motorist who has traveled 299 miles have drove

To get this, we use the given equation

This is;

d(t) = 468 - 65t

In the question, d(t) in this case is 299 miles

299 = 468 - 65t

65t = 468 - 299

65t = 169

t = 169/65

t = 2.6 hours

since 1 hour = 60 minutes;

2.6 hours = 2 + 0.6 hours

0.6 hours = 0.6 * 60 = 36 minutes

So the motorist had driven for 2 hours 36 minutes

30

step-by-step explanation:

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