Question

in 2018, there were 700 students enrolled in a college course. in 2019, there were 475 students enrolled in this particular course.

select the true statement about students enrolled in this course from 2018 to 2019. percentages are rounded to the nearest tenths place.

a.) the absolute change is -225 students and the relative change indicates a decrease of 32%.

b.) the absolute change is 225 students and the relative change indicates a decrease of 32%.

c.) the absolute change is -225 students and the relative change indicates a decrease of 0.32%.

d.) the absolute change is 225 students and the relative change indicates a decrease of 0.32%.

Explanation:

Calculate absolute change

Using the Ratios and Proportions knowledge point

$$ \text{Absolute Change} = \text{New Value} - \text{Reference Value} $$

$$ \text{Absolute Change} = 475 - 700 = -225 $$

Calculate relative change

Using the Percentage to Decimal Conversion knowledge point

$$ \text{Relative Change} = \frac{\text{Absolute Change}}{\text{Reference Value}} = \frac{-225}{700} \approx -0.3214 $$

$$ -0.3214 \times 100\% \approx -32.1\% $$

This represents a decrease of approximately \(32\%\).

Match with options

Comparing the calculated values:

• Absolute change is \(-225\) students.
• Relative change indicates a decrease of \(32\%\) (rounded to the nearest whole percent as shown in the options).

This matches option (a).

Answer:

• a.) The absolute change is -225 students and the relative change indicates a decrease of 32%. (Correct answer)
• b.) The absolute change is 225 students and the relative change indicates a decrease of 32%.
• c.) The absolute change is -225 students and the relative change indicates a decrease of 0.32%.