The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v mi/hr is given by M = − 1/30v2 + 3/2v    for 0 < v < 70.   (a) Find the most economical speed for a trip. (Round your answer to one decimal place.)  mi/hr (b) Find the largest value of M. (Round your answer to three decimal places.) M =  mi/gal

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter10: Exponential And Logarithmic Functions
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The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v mi/hr is given by

M = − 1/30v2 + 3/2v    for 0 < v < 70.
 
(a) Find the most economical speed for a trip. (Round your answer to one decimal place.)
 mi/hr

(b) Find the largest value of M. (Round your answer to three decimal places.)
M =  mi/gal
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