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Review materials for the math 1120 final exam, including problems on logarithms, functions, systems of equations, and graphing inequalities. Students are encouraged to use this document to prepare for the exam by practicing solving problems and understanding concepts.
Typology: Exams
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May 8, 9 โ11am and 1 โ3pm
2 4 3
Solve and leave your answer in term of ln:
25 x โ^1 = 19
x(mi) 2 4 8 15 30 100 y(in. of mercury) 27.3 27.7 28.04 28.3 28.7 29. a) Make a scatterplot of the data. b) Find a function f that models the data. c) Estimate the air pressure at 50 miles.
x 0 13 22 29 y 12.4 27.9 54.3 77. a) Graph the data. Are the data linear? b) Find a function f that models the data. a) Predict the chemical fertilizer usage in 1989. The actual value was 98.7 kilograms per hectare. What does this indicate about usage of fertilizer during the 1980s?
x y
x y
x y x y
x y x y
May 8, 9 โ11am and 1 โ3pm
x y x y
x y x y
x y x y x y
Key:
x = + 5. a) see graph below
b) f (^) ( x (^) ) = 26.97 + 0.506ln x c) About 28.95 in. of mercury 6. a) see graph below
b) f (^) ( x (^) ) = 12.42 1.066( ) x c) f (^) ( 39 ) โ 150 Chemical fertilizer use increased but at a slower rate than predicted by f. 7. (^) ( โ5, โ (^5) ) 8. Inconsistent system, no solution