Think about the values that the given variables can take.
n, whole numbers
h, positive rational numbers
Before we consider the given variables, let's recall the various types of numbers.
Rational Number: A number is a rational number if it can be written in the form ab, where a and b are both integers and b≠0.
Integer: A number is an integer if it is a positive or negative counting number (or zero). All integers are also rational numbers because any number can be written as a division by one, a1.
Whole Number: A number is a whole number if it is a non-negative counting number. All whole numbers are also integers and rational numbers.
Natural Number: A number is a natural number if it is a positive counting number. All natural numbers are also whole numbers, integers, and rational numbers.
Irrational Number: An irrational number is a real number that cannot be written in the form of a rational number. These are recognized as being non-repeating, infinite decimals.
Now let's consider the given variables by thinking about the values they can take.
the number of times n a ball bounces
the height h from which the ball is dropped
A ball can bounce 0 times, 1 time, 2 times, 3 times, or more. Therefore, n is included in the set of whole numbers.
We can drop the ball from any positive, measurable height. Therefore, h belongs to the set of positive real numbers.
