Math 1090.003 Midterm 01
Spring 2016
Name:
Class ID
#:
Instructions:
• Remove headphones and hats during the exam.
• Show all work, as partial credit will he
may be no credit given.
given
where appropriate. If no work is shown, there
• All final answers should be written in the space provided on the exam and in simplified
form. When needed, give your answer as an exact amount, i.e. a fraction or symbolic
expression, except for dollar amounts which should be rounded to the nearest cent.
• You may ask for scratch paper. You may use only the scratch paper provided. Please
transfer all finished work onto the proper page in the test.. We will not grade the work
on the scratch paper. Box your final answer to each problem and write it on the
lines in the right-hand corner, if provided!
• Scientific calculators are allowed on this exam. Absolutely no graphing calcu
lators. No other electronics are allowed.
• If your phone is out during the exam it will be considered a cheating offense
put your phone away!
Problem
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1. Write an equation of the line in slope-intercept form that goes through the point (8,-4) and is
perpendicular to 4x
= 6.
—
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[10 points]
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2. Given the function
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(a) Filld the domain of
=
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f.
[5 points]
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(b) Evaluate f(9).
[5 points]
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3. A company invests a total of $100,000 in two different accounts. The riskier investment yields
an annual average of 7.5 Vo profit and the safer investment has an annual yield of 4.0
How
much money should be invested in each account in order to earn at least $6,000 profit in a
year? /
[10 points]
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4. Givrni the following system of linear inequalities:
Iy 7—x
y x—4
1
(a) Determine the boundary lines.
(HINT: is the independent variable and y is thedet variable.)
[5 points]
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(z) y±x
(c)
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(b) Graph the solution set (or feasible region) on the next page.
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[10 points]
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using a test point.
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Plot the test point on your graph.
[5 points]
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Test Point Choice:
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(c)
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Label your lines and axes. I will be grading for accuracy of lines and points.
/
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6. Mohomodou is thinking of starting a business selling t-shirts with inspirational quotes on
them. His target consumer group is comprised of wealthy clients, including celebrities. After
some market research, he finds the consumers will buy 180 t-shirts of the price is $42 and will
buy 200 t-shirts for a price of $26. He is willing to supply t-shirts according to the equation
p+204=q.
(a) Assuming the demand is linear, what is the demand equation?
[HINT: The convention is (q,p), where q is quantity and p is price.]
[10 points]
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