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Nuku has an unemployment rate of 7%. There are 10,152 people who are working or have work. How many people are in Nuku's labor force? Round to the nearest whole number.

a) 10,913
b) 10,948
c) 10,929
d) 10,982

Answer :

Final answer:

The total labor force in Nuku can be calculated using the unemployment rate and the number of employed people. By dividing the number of employed people, 10,152, by 93% (100% - 7% unemployment rate), we get a labor force of approximately 10,919 when rounded to the nearest whole number. The closest answer choice is (a) 10,913.

Explanation:

To calculate the total labor force in Nuku, we use the unemployment rate and the number of people currently working. The unemployment rate represents the percentage of the labor force that is not currently employed but is actively seeking employment. Since Nuku has an unemployment rate of 7%, this means that for every 100 people in the labor force, 7 are unemployed.

Let's denote the total labor force as 'L'. We are given that 10,152 people are working, which implies that 93% of 'L' are employed (since 100% - 7% = 93%). Thus, we can set up the equation:

0.93 * L = 10,152

To find 'L', the total labor force, we divide both sides by 0.93:

L = 10,152 / 0.93

L = 10,919.35, which when rounded to the nearest whole number is 10,919.

Therefore, the total labor force in Nuku is approximately 10,919 people. The closest option to this number is (a) 10,913.

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