1 1 Equations And Graphs
1.1. Equations and Graphs
In each of problems 1 - 4, find
(a) an ordered pair that is a solution of the equation,
(b) the intercepts of the graph, and
(c) determine if the graph has symmetry.
1.
2.
3.
4.
5. Once a car is driven off of the dealership lot, it loses a significant amount of its resale value. The graph below shows the depreciated value of a BMW versus that of a Chevy after years. Which of the following statements is the best conclusion about the data?
a. You should buy a BMW because they are better cars.
b. BMWs appear to retain their value better than Chevys.
c. The value of each car will eventually be .
6. Which of the following graphs is a more realistic representation of the depreciation of cars.
7. A rectangular swimming pool has length that is greater than its width.
a. Give the area enclosed by the pool as a function of its width.
b. Find the dimensions of the pool if it encloses an area of .
8. Suppose you purchased a car in 2004 for You have just found out that the 2008 value of your car is Assuming that the rate of depreciation of the car is constant, find a formula that shows changing value of the car from 2004 to 2008.
(Hint: Exponential growth and decay formula: y = a (bx) )
9. For problem #8, in what year will the value of the vehicle be less than ?
10. For problem #8, explain why using a constant rate of change ( a linear equation) for depreciation may not be the best way to model depreciation.
All homework assignments are INDEPENDENT work. You are to complete homework on your own.
TO me, the highest thing next to God is MY HONOR.
I pledge on my HONOR the work on this assignment is my own work.
In each of problems 1 - 4, find
(a) an ordered pair that is a solution of the equation,
(b) the intercepts of the graph, and
(c) determine if the graph has symmetry.
1.
2.
3.
4.
5. Once a car is driven off of the dealership lot, it loses a significant amount of its resale value. The graph below shows the depreciated value of a BMW versus that of a Chevy after years. Which of the following statements is the best conclusion about the data?
a. You should buy a BMW because they are better cars.
b. BMWs appear to retain their value better than Chevys.
c. The value of each car will eventually be .
6. Which of the following graphs is a more realistic representation of the depreciation of cars.
7. A rectangular swimming pool has length that is greater than its width.
a. Give the area enclosed by the pool as a function of its width.
b. Find the dimensions of the pool if it encloses an area of .
8. Suppose you purchased a car in 2004 for You have just found out that the 2008 value of your car is Assuming that the rate of depreciation of the car is constant, find a formula that shows changing value of the car from 2004 to 2008.
(Hint: Exponential growth and decay formula: y = a (bx) )
9. For problem #8, in what year will the value of the vehicle be less than ?
10. For problem #8, explain why using a constant rate of change ( a linear equation) for depreciation may not be the best way to model depreciation.
All homework assignments are INDEPENDENT work. You are to complete homework on your own.
TO me, the highest thing next to God is MY HONOR.
I pledge on my HONOR the work on this assignment is my own work.