A hiker is walking down a mountain. She walked 5,978 feet in 17 minutes. In that time, she descended 1,024 feet from the top
of the mountain. She then walked 3,972 feet in 7 minutes. In that time, she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as a unit rate.
First walk=descend of 1024 feet in 17 minutes second walk=descend of 500 feet in 7 minutes
so in total she descended 1024+500=1524 feet in 7+17=24 minutes as an average rate this equals 1524/24=63.5 feet/minute descended or an average rate of -63.5 feet/minute in altitude (note the minus)
Since Hertz charges $108/week, divide that by 7 so you have the daily rate.
Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.
12.57 = .14x Then divide both sides by .14 x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.
