You are going on a trip. to get to the beach, you have to drive 475 miles. if you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?

To solve this problem, we’ll utilize the "time-speed-distance" relationship which is expressed by the formula d = rt, i. e., distance d is equal to speed r multiplied by time t.

The given information in this problem gives us: the speed of r = 60 mi/hr traveled over a distance of 1 mile. We need to find how much time, t, it took to travel a distance d of 1 mile at a speed r = 60 mi/hr, that is:

d/r = t or

t = d/r

Substituting the known values for d and r into the above equation, we have:

t = 1 mi. / (60 mi/hr)

t = (1/60) hr.

t = (1/60) hr. (1)

t = (1/60) hr. (60 min./1 hr.)

t = (1/60) (60/1) min.

t = 1 minute (or 60 seconds) to travel 1 mile at a speed of 60 miles per hour.

Miles Left = - 50 * Hours + 475

The rate of change, or slope, is - 50 miles per hour. The starting distance, or y-intercept, is 475 miles.