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Short Answer: Type your answer below each question. Show your work.
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Pre-Calculus Midterm Exam
Score: ______ / ______
Name: ____________________________
Student Number: ___________________
Short Answer: Type your answer below each question. Show your work.
1 Verify the identity. Show your work.
cot θ ∙ sec θ = csc θ
cos θ
sin θ
x 1 = csc θ
cos θ
cos θ
sin θ
x 1 = csc θ
cos θ
1 = cscθ
sinθ
2 A gas company has the following rate schedule for natural gas usage in single-family residences:
Monthly service charge
Per therm service charge
1st 25 therms
Over 25 therms
$8.80
$0.6686/therm
$0.85870/therm
What is the charge for using 25 therms in one month? Show your work.
($8.80) + ($0.6686 x 25) = $25.52
What is the charge for using 45 therms in one month? Show your work.
($8.80) + ($0.6686 x 25) + ($0.85870 x (45 – 25)) = $42.69
Construct a function that gives the monthly charge C for x therms of gas.
C = $8.80 + ($0.6686x) + ($0.85870(45 – x))
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Pre-Calculus Midterm Exam
3 The wind chill factor represents the equivalent air temperature at a standard wind speed that would
pro...