The population of mastertown was 23,000 in 2012. assume that mastertowns population increases at a rate of 2% per year. write an equation to model the population of mastertown (y) based on numbers of years since 2012 (x)

 y = 23000 (1 + 0.02)^x

Step by step solution:

Population of mastertown was 23,000 in 2012

mastertowns population increases at a rate of 2% per year

By using the following equation :

y= a(1+r)^n

a= initial amount  

n = the number of years  

r= growth rate

Keeping the above statement in mind -> Population of mastertown (y) based on numbers of years since 2012 (x)

a = 23000

An increase by 2%  

r = 2/100 = 0.02

So the final equation would be :

y = 23000 (1 + 0.02)^x

45

step-by-step explanation:

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.

step-by-step explanation:

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