Finite Mathematics Test
#I
covering
Ch.
1
-
4
Name:
Please atiacli all arrswers arrd work or1 otlrerpaper. Orrly write your rtartre or1 tltis slreei. Work probler~rs irr order.
1.
Find the expressions for the Revenue, Cost, and Profit from selling x thousand items given:
2.
Factor completely:
8
1x4
-
16
Single Item Price
$9.25
3. Simplify the complex fraction:
4r+1
1
+3
4r+1
4.
Rachel just received a 13% raise at work. She will be earning $13 per hour now. What was her hourly rate
before the raise?
'
Fixed Cost
$80.000
5. Use the quadratic formula to solve the equation. Give
BOTH
exact and approximate answers.
3m2+20m+5=0
Variable Cost
4150x
6.
Find the x and
y
intercepts of the graph of the equation: 5x
-
3y
=
10
4
7.
Find the equation of a line passing through
(7,2)
and having a slope of
-
.
3
8.
Find the linear regression equation for the following:
9. Show the solution to the following inequality with interval notation and on a number line.
Ir
+
3.51
5
7.5
10. The profit made when t units are sold is given by
P(t)
=
t2
-
103t
+
1596.
Determine the number of units
that must be sold to break even.
1 1.
Find
f
(x
+
h)
-
f
(x)
for
f(x)=x2 -x+3.
h
12. At
a
manufacturing plant, the total cost (in dollars) to produce
x
items is
C(x)
=
5.19~
+
25,000
a.
Determine the average per item if 20,000 items are produced.
b. What is the marginal cost per item?
