The absolute change in the number of students from 2014 to 2015 is calculated by subtracting the number of students in 2015 from the number of students in 2014: Absolute Change=students2015−students2014=450−500=−50 \text{Absolute Change} = \text{students}_{2015} - \text{students}_{2014} = 450 - 500 = -50 Absolute Change=students2015−students2014=450−500=−50
The relative change is calculated by dividing the absolute change by the initial number of students (in 2014) and then converting it to a percentage: Relative Change=(Absolute Changestudents2014)×100=(−50500)×100=−10.0% \text{Relative Change} = \left( \frac{\text{Absolute Change}}{\text{students}_{2014}} \right) \times 100 = \left( \frac{-50}{500} \right) \times 100 = -10.0\% Relative Change=(students2014Absolute Change)×100=(500−50)×100=−10.0%
Based on the calculations:
Among the given options, the correct statement is: d.) The absolute change is −50-50−50 students, and the relative change indicates a decrease of 10%10\%10%.
d.) The absolute change is -50 students, and the relative change indicates a decrease of 10%. \boxed{\text{d.) The absolute change is -50 students, and the relative change indicates a decrease of 10\%.}} d.) The absolute change is -50 students, and the relative change indicates a decrease of 10%.
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