Suppose C = 45 + 0.5t and L = 9 + 2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville, respectively. Determine the number of years it will take for their populations to be (a) equal, and (b) for Clarksville to have twice as many inhabitants as Lanesville. Also report the population of the towns for each situation. (a) In how many years will the population of Clarksville equal that of Lanesville? Number years What will be their populations?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Suppose C = 45+ 0.5t and L = 9 +2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville,
respectively. Determine the number of years it will take for their populations to be
(a) equal, and
(b) for Clarksville to have twice as many inhabitants as Lanesville.
Also report the population of the towns for each situation.
(a) In how many years will the population of Clarksville equal that of Lanesville?
Number
years
What will be their populations?
Number
thousand people
Transcribed Image Text:Suppose C = 45+ 0.5t and L = 9 +2.5t represent the population (in thousands) of two cities, Clarksville and Lanesville, respectively. Determine the number of years it will take for their populations to be (a) equal, and (b) for Clarksville to have twice as many inhabitants as Lanesville. Also report the population of the towns for each situation. (a) In how many years will the population of Clarksville equal that of Lanesville? Number years What will be their populations? Number thousand people
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