1.
The cost function for a company to produce
x
items is
y
= 56 + 2
x
and the revenue function is
y
= 3.6
x
. Graph the system of equations, and find the break-even point.
A.
45 items
B.
35 items
C.
30 items
D.
40 items
Hint
2.
The cost function for a company to produce
x
items is
y
= 22.5 + 2
x
and the revenue function is
y
= 2.5
x
. If the profit is the revenue minus the cost, what is the profit at the break-even point?
A.
$63
B.
$0
C.
$112.50
D.
$75
Hint
3.
Solve the system of equations
y
= -
x
+ 5 and
y
= -
x
- 10 by graphing.
A.
None of these is correct.
B.
(5, 2)
C.
no solution
D.
(2, 5)
Hint
4.
Find the solution of the system
y
= 3
x
– 2 and
y
= -2
x
– 7.
A.
(-1, -6)
B.
No Solution
C.
(-2, -5)
D.
(-1, -5)
Hint
5.
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
= 1.5
x
+ 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
= 2
x
+ 1. At what time will the cost be equal for renting a bike at Park A and Park B?
A.
1.5 hours
B.
2.5 hours
C.
2 hours
D.
1 hour
Hint