Exponential functions

1103082501

Level: 
C
Mary purchased a new car at the purchase price 12000 EUR. Depreciation rate of the car is 12% per year. Suzy purchased a new car at the same time as Mary and the purchase price was 14500 EUR. The depreciation rate of Suzy's car is 15% per year. Let p be the price of the car in thousands euros and t be the age of the car in years. Which of the following legends is correct for the next graph?
Suzy's car, p=14.5⋅(0.85)t
Mary's car, p=12.0⋅(0.88)t
Suzy's car, p=14.5⋅(1.15)t
Mary's car, p=12.0⋅(1.12)t

1103082502

Level: 
C
Mary purchased a new car. The purchase price was 12000 euros and the value of the car depreciates by 12% per year. Suzy purchased a new car at the same time as Mary and the purchase price was 14500 euros. The depreciation rate for Suzy's car is 15%. Let p be the price of the car in thousands euros and t be the age of the car in years. In the diagram below, determine the color of the graph that shows relationship between the price of Mary's car and its age. (Note: The answers include not only the color of the graph but also the relevant function equation.)
green, p=12.0⋅(0.88)t
yellow, p=14.5⋅(1.15)t
orange, p=12.0⋅(1.12)t
blue, p=12.0⋅(0.88)t

1103082503

Level: 
C
At year 2000 (t=0) a small village has a population of 350 people. The graph in the picture below shows the population function for the next 50 years. One of the following statements is true. Which one is it?
The village population declines by 3.8% per year.
The village population grows by 3.8% per year.
The village population declines by 5 people per year.
The village population grows by 5 people per year.