The initial population of the town was estimated to be 12,500 in 2005. The population has increased by about 5.4% per year since 2005. Formulate the equation that gives the population, , of the town x years since 2005. If necessary, round your answer to the nearest thousandth.
a(x)= blank(blank)^x

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answer: -1

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so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

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