1. Real-Life Scenarios
1. A rental car company charges a $35.00 fee plus an additional $0.15 per mile driven.
A. Write a linear equation to model the cost (C) of renting a vehicle as a function of miles driven (m).
B. A renter paid $65.00 when a vehicle was returned.
How many miles was the vehicle driven? Show all work.
C. How would the graph of the cost equation in Part A differ from the graph of C = 0.2m + 15 ?
What would this mean in the context of the cost of renting a vehicle?
The graph of the cost equation in Part A has a higher y-intercept , but the slope is more shallow.
That means that the initial rental fee is more, but the rate of change (or cost per mile) is less. Early on, renting the first vehicle will be more expensive, but after a certain number of miles, it would be less expensive than renting a car with the second cost equation.

2. 2. An airplane at 30,000 feet begins to descend at 1,500 feet per minute.
Let h be the height of the airplane above the ground after t minutes of descent.
A. Write an equation to describe the relationship between h and t.
B. Sketch a graph of the airplane’s height h above the ground for varying values of t in minutes.
C. Calculate the time to descend to a height
of 5,000 feet above the ground.
D. Calculate the height of the
plane 2 minutes 30 seconds
after it starts to descend.