Question
Which situation can be represented by the equation y=12x?
A. Victoria went to school for x years. This is 12 times y, the number of years her brother went to school.
B. Victoria spend x dollars to buy a gif for her brother. She gave the cashier y dollars and received $12 in change.
C. Victoria has y dollars. This amount is 12 times x, the amount of money in dollars Victoria’s brother has.
D. Victoria is y years old. Her age is 12 years greater than x, her brother’s age in years.
A. Victoria went to school for x years. This is 12 times y, the number of years her brother went to school.
B. Victoria spend x dollars to buy a gif for her brother. She gave the cashier y dollars and received $12 in change.
C. Victoria has y dollars. This amount is 12 times x, the amount of money in dollars Victoria’s brother has.
D. Victoria is y years old. Her age is 12 years greater than x, her brother’s age in years.
Answers
GPT-4o mini
To analyze which situation can be represented by the equation \( y = 12x \), we need to identify which of the options describes a situation where \( y \) is equal to 12 times \( x \).
Let's look at each option:
A. *Victoria went to school for \( x \) years. This is 12 times \( y \), the number of years her brother went to school.*
This can be rephrased as \( x = 12y \) and does not fit the equation \( y = 12x \).
B. *Victoria spent \( x \) dollars to buy a gift for her brother. She gave the cashier \( y \) dollars and received $12 in change.*
This situation does not present a direct 12 times relationship. We don't have a clear relationship of the form \( y = 12x \).
C. *Victoria has \( y \) dollars. This amount is 12 times \( x \), the amount of money in dollars Victoria’s brother has.*
This correctly indicates that \( y = 12x \), as it states that Victoria has 12 times the amount of money her brother has.
D. *Victoria is \( y \) years old. Her age is 12 years greater than \( x \), her brother’s age in years.*
This situation could be described by the equation \( y = x + 12 \), which does not fit \( y = 12x \).
Based on this analysis, the correct answer is:
**C. Victoria has \( y \) dollars. This amount is 12 times \( x \), the amount of money in dollars Victoria’s brother has.**
Let's look at each option:
A. *Victoria went to school for \( x \) years. This is 12 times \( y \), the number of years her brother went to school.*
This can be rephrased as \( x = 12y \) and does not fit the equation \( y = 12x \).
B. *Victoria spent \( x \) dollars to buy a gift for her brother. She gave the cashier \( y \) dollars and received $12 in change.*
This situation does not present a direct 12 times relationship. We don't have a clear relationship of the form \( y = 12x \).
C. *Victoria has \( y \) dollars. This amount is 12 times \( x \), the amount of money in dollars Victoria’s brother has.*
This correctly indicates that \( y = 12x \), as it states that Victoria has 12 times the amount of money her brother has.
D. *Victoria is \( y \) years old. Her age is 12 years greater than \( x \), her brother’s age in years.*
This situation could be described by the equation \( y = x + 12 \), which does not fit \( y = 12x \).
Based on this analysis, the correct answer is:
**C. Victoria has \( y \) dollars. This amount is 12 times \( x \), the amount of money in dollars Victoria’s brother has.**