Question
Which answer choice is a possible scenario to represent the algebraic expression
?
The variable
is the number of days a dog stays at a kennel. It costs $75 times the number of days the dog stays at the kennel.
The variable
is the number of days a dog stays at a kennel. It costs $25 each day, and the dog owner has a coupon for $50 off the price.
The variable
is the number of days a dog stays at a kennel. It costs $50 plus $25 times the number of days.
The variable
is the number of days a dog stays at a kennel. It costs $25 plus $50 each day.
?
The variable
is the number of days a dog stays at a kennel. It costs $75 times the number of days the dog stays at the kennel.
The variable
is the number of days a dog stays at a kennel. It costs $25 each day, and the dog owner has a coupon for $50 off the price.
The variable
is the number of days a dog stays at a kennel. It costs $50 plus $25 times the number of days.
The variable
is the number of days a dog stays at a kennel. It costs $25 plus $50 each day.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The algebraic expression you're looking to represent likely incorporates a cost structure based on the number of days a dog stays at a kennel. Let's break down each option:
1. **$75 times the number of days**: This can be expressed as \( 75d \), where \( d \) is the number of days. This option represents a linear cost that increases directly with the number of days stayed.
2. **$25 each day, and a $50 coupon off**: This can be expressed as \( 25d - 50 \). Here, the cost is calculated per day and then discounted by the coupon, which also represents a linear cost function.
3. **$50 plus $25 times the number of days**: This can be expressed as \( 50 + 25d \). This scenario indicates that there is a flat fee of $50, plus $25 for each day. This is a common pricing structure in services.
4. **$25 plus $50 each day**: This can be expressed as \( 25 + 50d \). This means there is a flat fee of $25, plus $50 per day, also representing a linear cost structure.
Based on these breakdowns, each answer choice is a possible scenario that can be represented algebraically, but they represent different pricing structures. The typical structure most commonly used in cost scenarios involves a base fee plus a variable cost per day (Option 3, \( 50 + 25d \), is a very common pricing structure).
If you need to choose just one as a standard example of the cost structure, Option 3 (the variable being the number of days with a fixed fee plus a cost per day), would be a representative algebraic expression.
1. **$75 times the number of days**: This can be expressed as \( 75d \), where \( d \) is the number of days. This option represents a linear cost that increases directly with the number of days stayed.
2. **$25 each day, and a $50 coupon off**: This can be expressed as \( 25d - 50 \). Here, the cost is calculated per day and then discounted by the coupon, which also represents a linear cost function.
3. **$50 plus $25 times the number of days**: This can be expressed as \( 50 + 25d \). This scenario indicates that there is a flat fee of $50, plus $25 for each day. This is a common pricing structure in services.
4. **$25 plus $50 each day**: This can be expressed as \( 25 + 50d \). This means there is a flat fee of $25, plus $50 per day, also representing a linear cost structure.
Based on these breakdowns, each answer choice is a possible scenario that can be represented algebraically, but they represent different pricing structures. The typical structure most commonly used in cost scenarios involves a base fee plus a variable cost per day (Option 3, \( 50 + 25d \), is a very common pricing structure).
If you need to choose just one as a standard example of the cost structure, Option 3 (the variable being the number of days with a fixed fee plus a cost per day), would be a representative algebraic expression.
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