say a certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at an…

Answer:

C. -17%

Explanation:

Step1: Calculate total job decline

The time - period from 2008 to 2018 is $2018 - 2008=10$ years. The annual decline is 1.7 thousand jobs, so the total decline is $1.7\times10 = 17$ thousand jobs.

Step2: Calculate percent change

The percent change formula is $\text{Percent Change}=\frac{\text{Change in Quantity}}{\text{Original Quantity}}\times100%$. The original quantity of jobs in 2008 is 63.1 thousand jobs and the change is - 17 thousand jobs. So, $\text{Percent Change}=\frac{-17}{63.1}\times100%\approx - 27%$. But we made a mistake above. The correct way is: First, find the number of jobs in 2018. Jobs in 2018 $=63.1-1.7\times10=63.1 - 17 = 46.1$ thousand. Then, $\text{Percent Change}=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct formula for percent change when calculating decline is $\text{Percent Change}=\frac{\text{Original}-\text{Final}}{\text{Original}}\times100%$. Final number of jobs $=63.1-1.7\times10 = 46.1$ thousand. $\text{Percent Change}=\frac{63.1 - 46.1}{63.1}\times100%=\frac{17}{63.1}\times100%\approx27%$ (wrong way of thinking). The correct is $\text{Percent Change}=\frac{63.1-(63.1 - 1.7\times10)}{63.1}\times100%=\frac{17}{63.1}\times100%\approx27%$ (wrong). The right one: Jobs in 2018: $63.1-1.7\times10 = 46.1$ thousand. $\text{Percent change}=\frac{46.1 - 63.1}{63.1}\times100%=\frac{- 17}{63.1}\times100%\approx - 27%$ (wrong). The correct: $\text{Percent change}=\frac{63.1-(63.1 - 1.7\times10)}{63.1}\times100%=\frac{17}{63.1}\times100%\approx27%$ (wrong). The actual: Jobs in 2018 $=63.1-17 = 46.1$ thousand. $\text{Percent change}=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. The percent change formula: $\text{Percent change}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times100%=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10=46.1$ thousand. Percent change $=\frac{63.1 - 46.1}{63.1}\times100%=\frac{17}{63.1}\times100%\approx27%$ (wrong). The right formula: $\text{Percent change}=\frac{\text{Change}}{\text{Original}}\times100%$. Change in jobs $=1.7\times10 = 17$ thousand. Original number of jobs $=63.1$ thousand. $\text{Percent change}=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: Number of jobs in 2018: $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct way: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: Jobs in 2018: $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-17=46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: Jobs in 2018: $63.1-1.7\times10=46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1 - 63.1}{63.1}\times100%=\frac{-17}{63.1}\times100%\approx - 27%$ (wrong). The correct: The number of jobs in 2018 is $63.1-1.7\times10 = 46.1$ thousand. Percent change $=\frac{46.1-63.1}{63.