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At the start of the last decade, the population of Smithville was only 90 thousand people, while Jonesville had a population of 386 thousand. Assume
At the start of the last decade, the population of Smithville was only 90 thousand people, while Jonesville had a population of 386 thousand. Assume the population of Smithville increases at the constant rate of 10 thousand people per year. Assume the population of Jonesville increases at the rate of only 2 thousand people per year. (a) Complete the table. Note that S and J are in thousands of people, so, consequently, the first row is 90 (not 90,000) and 386 (not 386,000). S, Population of J. Population of Time, t, in years, Smithville Jonesville since the start of the last decade (in thousands of people) (in thousands of people) 0 90 386 Number Number 2 Number Number 3 Number Number (b) Write a formula for the population of each town in year t. (TIP: Be sure it matches the above table.) S= ADD(Write a formula which involves t.) (Write a formula which involves t.) (c) How many years since the start of the last decade will it take for the populations to be equal? (Assume the rates hold steady for this length of time.) t = Number years (d) How many inhabitants will each town have when they are equal? For example, if there will be 999,000 people, type a 999 in the answer box.) They will both have populations of Number thousand people
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