Test 2 Mat 190 Equation Worksheet With Answers - 2008 Page 2
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1
2Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
x
y 2
15
x 2
y 3
18
x
y
12
+
=
−
=
+
=
12.
13.
14.
x 3
y 6
30
x 5
7
y
3
. 0
x 5
. 0
y 5
6
+
=
+
=
+
=
Parallel
Cross in one point
Same line
15. An internet company offers DSL service for $39.99 per month with a $50 one-time set-up fee. Let “y”
represent the cost the customer has paid after “x” months of DSL service.
a) What is the rate of change
b) Find the equation of the line y.
c) What is the x-value for one year?
of cost per month?
$39.99 per month
y = 39.99x + 50
x = 12
d) How much has the customer paid
e) After how many months of service has the customer spent
after one year of DSL service?
$1169.72 on DSL service from this internet company?
$529.88
28 months
16. Flying lessons cost $645 for an 8-hour course and $1425 for a 20-hour course. If x represents the length of
the course in hours and C(x) represents the cost of the course, find the following.
a) What is the rate of change of cost per hour
b) Find the equation of the line C(x).
$65 per hour
65x – y = -125
or y = 65x + 125
c) If the rate of change remains the same,
d) How many hours is a course that costs $1295?
what is the cost of a 12-hour course?
$905
18 hours
17. The amount of money a couple has spent over a period of “x” months on membership in an exercise club is
given by the equation C(x) = 80x + 120. Find the following.
a) How much has the couple spent
b) The couple was charged a joiner’s fee when they first joined
after 8 months of membership?
the exercise club. How much was this joiner’s fee?
$760
$120
c) How much is the couple paying per month?
$80 per month
Bonus (5 pts): Refer to #15 and #17. How much cheaper is it to have the first year of DSL than to have the first
year’s membership in the exercise club? (Thus confirming that it’s cheaper to be physically lazy!) ☺
Difference: $550.12
DSL: $529.88 for one year
Exercise club: $1080 for one year
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