Final answer:
Shanda, Allison, and Franklin are all correct: 393 is a rational number because it can be expressed as a fraction, it is an integer as it is a positive number without a fraction or decimal part, and it is also a whole number because it is a non-negative integer.
Step-by-step explanation:
The statement made by Shanda is that 393 is rational. Allison claims that 393 is an integer, and Franklin says it's a whole number. To clarify these terms, a rational number is any number that can be expressed as a fraction √ where both p and q are integers and q is not equal to zero. An integer is a whole number that can be positive, negative, or zero but does not include fractions or decimals. Lastly, a whole number is a non-negative integer, meaning it includes zero and all positive integers.
Since 393 can be expressed as the fraction 393/1, it is a rational number. It is also a positive integer because it is not a fraction or decimal, and it does not have a negative sign. Additionally, it is a whole number because it is non-negative and not a fraction or decimal. Therefore, all statements made by Shanda, Allison, and Franklin are correct.