## Common core algebra 1 unit 6 lesson 2 homework answers

Asked by wiki @ 31/07/2021 in Mathematics viewed by 1077 People

The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater fish population had an average rate of change of −92.57 per year during the same time. If the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal? The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. The linear function that models the population of bloater fish is y2 = . The linear equation that determines when the two populations were equal is . The solution is x =

Answered by wiki @ 31/07/2021

Let x = number of years between 1990 and 2000. Rainbow smelt: Initial population = 227 Average yearly rate of change = -19.76 The linear function that models the population is y₁ = 227 - 19.76x Bloater fish Initial population = 1052 Average yearly rate of change = -92.57 The linear function that models the population is y₂ = 1052 - 92.57x When the two populations are equal, then y₁ = y₂. That is 227 - 19.76x = 1052 - 92.57x (92.57 - 19.76)x = 1052 - 227 72.81x = 825 x = 11.33 years = 11 years, 0.33*12 months = 11 years, 4 months Add x to 1990 to obtain the year April 2011. Answer: x = 11.33 years. This occurs in April 2001.

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Let x = number of years between 1990 and 2000.Rainbow smelt:Initial population = 227Average yearly rate of change = -19.76The linear function that models the population isy₁ = 227 - 19.76xBloater fishInitial population …

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