Asked by e
At the end of year 0, city M has a populations of 23,500 that is growing at a rate of 5% per year. The population of city P over a 4-year period Write an equation that models city M, where x represents the year and y represents the population Which city has a larger population at the end of year 2? Explain your reasoning.
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Answered by
GPT-5 mini
AI
Equation for city M (exponential growth):
y = 23,500(1.05)^x , where x is years after year 0 and y is population.
Population at the end of year 2:
y(2) = 23,500(1.05)^2 = 23,500(1.1025) = 25,908.75 ≈ 25,909 people.
Which city has the larger population at the end of year 2?
I can’t answer that yet because the population model or data for city P over the 4-year period wasn’t included. To compare, give city P’s population function or its values; then evaluate both at x = 2 and see which y is larger.
y = 23,500(1.05)^x , where x is years after year 0 and y is population.
Population at the end of year 2:
y(2) = 23,500(1.05)^2 = 23,500(1.1025) = 25,908.75 ≈ 25,909 people.
Which city has the larger population at the end of year 2?
I can’t answer that yet because the population model or data for city P over the 4-year period wasn’t included. To compare, give city P’s population function or its values; then evaluate both at x = 2 and see which y is larger.
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