Final answer:
The number 8.9 is classified as a rational number and a real number as it can be written as a fraction (89/10) and it exists on the number line. It is not a natural number or an integer because it is not a whole number.
Step-by-step explanation:
The number 8.9 as a percentage of students who graduate with honors from a university must be classified as a certain type of number. The classifications we're looking at are natural numbers, integers, rational numbers, and real numbers.
Natural numbers are the set of all positive integers starting from 1 (1, 2, 3, ...). Since 8.9 is not a positive integer, it is not a natural number.
Integers are the set of whole numbers and their negatives, including zero (-3, -2, -1, 0, 1, 2, 3, ...). Again, because 8.9 is not a whole number, it is not an integer.
Rational numbers are numbers that can be expressed as a fraction of two integers. Since 8.9 can be expressed as the fraction 89/10, it is a rational number.
Real numbers include all the numbers on the number line, including all rational and irrational numbers. Because 8.9 can be located on a number line and is a rational number, it is also a real number.
Therefore, the correct classification for 8.9 is both a rational number and a real number. So, the correct choice would be Option A: Rational, Real.