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Material Type: Exam; Professor: Molik; Class: MATHEMATICAL MODELING; Subject: Mathematics; University: Augusta Technical College; Term: Summer 2008;
Typology: Exams
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x 2 3
y
y 2 x 3
Test 2 MAT 190 Summer 2008 Name ________________________
Simplify all answers and show your work! You may use MathGV as a tool.
Find the equations of the lines with the given properties:
(-1, 3) and (2, 5). having a slope of 4
−. and having a slope of 3.5.
7 x 4 y 20
3 x 2 y 16
and find the point of intersection.
Determine if the following pairs of lines cross in one point, are parallel, or are the same line.
3 x 6 y 30
x 2 y 15
5 x 7 y 3
2 x 3 y 18
x y 12
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?
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?
a) What is the rate of change of cost per hour b) Find the equation of the line C(x).
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?
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?
c) How much is the couple paying 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!) ☺