Question

4. The population of a place in a particular year increased by 15%. Next year, it decreased by 15%. Find the
net increase or decrease percent in the initial population.​

Answer 1

Answer:

-2.25%

Step-by-step explanation:

-15^2/100

=-2.25%

decreased by2.25%

increased and decreased by same percentage, x then net always decreases by x^2/100 %

Answer 2

Answer:

Decreased by 2.25%

Step-by-step explanation:

Let the initial population be x

Find the population after first year:

Increase = 15% of x = 0.15x

Population = x + 0.15x = 1.15x

Find the population after second year:

Decrease = 15% of 1.15x = 0.15(1.15x) = 0.1725x

Population = 1.15x - 0.1725x =  0.9775x

Find the net decrease:

net decrease = x - 0.9775x = 0.0225x

Find the percentage decrease:

Percentage decrease = (decrease ÷ original) x 100

Percentage decrease = (0.0225x ÷ x) x 100 = 2.25%

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