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Check it out!. 2.1.4: Solving Exponential Equations.

arthur-richards
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Check it out!

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  1. Check it out! 2.1.4: Solving Exponential Equations

  2. Two schools opened in the same year, each with a population of 500 students. Hillsboro High School’s population increased at a rate of 160 students per year. The population of Mountain Ridge High School increased by approximately 20% each year. On the tenth anniversary of the schools’ opening, which school has the greater population? How many more students does the school with the larger population have? 2.1.4: Solving Exponential Equations

  3. On the tenth anniversary of the schools’ opening, which school has the greater population? Create an expression to represent the population growth for each school. Hillsboro High School started with a population of 500 that increased by 160 students each year. This situation can be modeled by the expression 500 + 160n, where n represents the number of years after the school opened. To find the population after 10 years, substitute 10 for n and evaluate the expression. Hillsboro High School has 2,100 students after 10 years. 500 + 160n = 500 + 160(10) = 2100 2.1.4: Solving Exponential Equations

  4. Mountain Ridge High School also started with a population of 500, but the population increased by 20% each year. This situation can be modeled by the expression 500(1 + 0.20)n, where n represents the number of years after the school opened. To find the population after 10 years, substitute 10 for n and evaluate the expression. Mountain Ridge High School has approximately 3,096 students after 10 years. After 10 years, Mountain Ridge High School has more students than Hillsboro High School. 500(1 + 0.20)n = 500(1 + 0.20)10 = 500(1.20)10 2.1.4: Solving Exponential Equations

  5. How many more students does the school with the larger population have? To find the difference in the populations of the two schools, subtract their populations after 10 years. 3096 – 2100 = 996 After 10 years, Mountain Ridge High School has approximately 996 more students than Hillsboro High School. 2.1.4: Solving Exponential Equations

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