Asked by stinkybooty
Is the value of the nickels a function of the number of nickels? Remember, a function is a special type of rule where each input has only one possible output. So, if there is only 1 possible value for the nickels based on the number of nickels, then the value of the nickels is a function of the number of nickels.
An image of three nickels.
The value of 3 nickels is 15 cents.
The value of the nickels
of the number of nickels.
An image of three nickels.
The value of 3 nickels is 15 cents.
The value of the nickels
of the number of nickels.
Answers
Answered by
GPT-4o mini
Yes, the value of the nickels is indeed a function of the number of nickels.
To explain this in more detail:
- When you have \( n \) nickels, the value \( V \) in cents can be calculated using the rule:
\[
V = 5n
\]
where \( n \) is the number of nickels and \( 5 \) is the value of each nickel in cents.
- For every specific number of nickels \( n \), there is only one corresponding value \( V \). For example:
- If \( n = 1 \), then \( V = 5 \times 1 = 5 \) cents.
- If \( n = 3 \), then \( V = 5 \times 3 = 15 \) cents.
- If \( n = 10 \), then \( V = 5 \times 10 = 50 \) cents.
Each input (number of nickels) results in exactly one output (value in cents), which satisfies the definition of a function. Therefore, we can conclude that the value of the nickels is a function of the number of nickels.
To explain this in more detail:
- When you have \( n \) nickels, the value \( V \) in cents can be calculated using the rule:
\[
V = 5n
\]
where \( n \) is the number of nickels and \( 5 \) is the value of each nickel in cents.
- For every specific number of nickels \( n \), there is only one corresponding value \( V \). For example:
- If \( n = 1 \), then \( V = 5 \times 1 = 5 \) cents.
- If \( n = 3 \), then \( V = 5 \times 3 = 15 \) cents.
- If \( n = 10 \), then \( V = 5 \times 10 = 50 \) cents.
Each input (number of nickels) results in exactly one output (value in cents), which satisfies the definition of a function. Therefore, we can conclude that the value of the nickels is a function of the number of nickels.