| |
| |
1. |
The cost function for a company to produce x items is y = 56 + 2x and the revenue function is y = 3.6x. Graph the system of equations, and find the break-even point. |
| |
|
A. |
35 items |
B. |
30 items |
| |
|
C. |
40 items |
D. |
45 items |
| |
|
Hint |
|
| |
2. |
Find the solution of the system y = 2.5x + 1.5 and -3x + y = 1. |
| |
|
A. |
(4, 1) |
B. |
(1, 4) |
| |
|
C. |
(2, -1) |
D. |
(3, 1) |
| |
|
Hint |
|
| |
3. |
Park A and Park B each have a bicycle trail. The cost of renting a bicycle at Park A is $1.50 for hour plus a $2.00 rental fee, which is modeled by the equation y = 1.5x + 2. The cost of renting a bicycle at Park B is $2.00 per hour plus $1.00 rental fee, which is modeled by the equation y = 2x + 1. At what time will the cost be equal for renting a bike at Park A and Park B? |
| |
|
A. |
2.5 hours |
B. |
2 hours |
| |
|
C. |
1 hour |
D. |
1.5 hours |
| |
|
Hint |
|
| |
4. |
Find the solution of the system y = x + 2 and y = -1 x + 4. |
| |
|
A. |
(-2, 7) |
B. |
(1, 3) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Find the solution of the system y = -3x + 2 and y = -1.5x + 5. |
| |
|
A. |
(-3, 9.5) |
B. |
(-2, 8) |
| |
|
C. |
(2, 8) |
D. |
(-1, 5) |
| |
|
Hint |
|
|