Question
A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
Education and Health Services - All Employees, 2000-2009
A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.
a.
21,926,800
b.
2,826,800
c.
16,273,200
d.
1,790,600
Please select the best answer from the choices provided
A
B
C
D
Education and Health Services - All Employees, 2000-2009
A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.
a.
21,926,800
b.
2,826,800
c.
16,273,200
d.
1,790,600
Please select the best answer from the choices provided
A
B
C
D
Answers
GPT-4o mini
To determine the approximate number of new jobs gained in the education and health service industries from 2009 to 2016, we first need to find the employee count in January 2009 and then calculate the projected employee count for January 2016 based on the expected increase of 14.8%.
From the data provided in the employment graph, the number of employees in January 2009 is 19,200 (in thousands).
Now, let's calculate the increase of 14.8%:
1. Calculate 14.8% of 19,200:
\( 19,200 \times 0.148 = 2,841.6 \) (in thousands)
2. Add this increase to the original count to find the total estimated employees in January 2016:
\( 19,200 + 2,841.6 = 22,041.6 \) (in thousands)
3. Now calculate the total number of new jobs by finding the difference between the projected total and the original total:
\( 22,041.6 - 19,200 = 2,841.6 \) (in thousands)
Since the choices provided are given in absolute numbers rather than in thousands, we convert this:
\( 2,841.6 \times 1,000 = 2,841,600 \)
Looking at the options provided:
a. 21,926,800
b. 2,826,800
c. 16,273,200
d. 1,790,600
The closest answer to our calculation, accounting for any rounding or differences, is:
**B. 2,826,800**.
From the data provided in the employment graph, the number of employees in January 2009 is 19,200 (in thousands).
Now, let's calculate the increase of 14.8%:
1. Calculate 14.8% of 19,200:
\( 19,200 \times 0.148 = 2,841.6 \) (in thousands)
2. Add this increase to the original count to find the total estimated employees in January 2016:
\( 19,200 + 2,841.6 = 22,041.6 \) (in thousands)
3. Now calculate the total number of new jobs by finding the difference between the projected total and the original total:
\( 22,041.6 - 19,200 = 2,841.6 \) (in thousands)
Since the choices provided are given in absolute numbers rather than in thousands, we convert this:
\( 2,841.6 \times 1,000 = 2,841,600 \)
Looking at the options provided:
a. 21,926,800
b. 2,826,800
c. 16,273,200
d. 1,790,600
The closest answer to our calculation, accounting for any rounding or differences, is:
**B. 2,826,800**.