Question
Meg is buying soda and juice for a party and wants to spend no more than $49. Soda costs $2 per bottle, and juice costs $1 per bottle.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of bottles of soda
y = the number of bottles of juice
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of bottles of soda
y = the number of bottles of juice
Answers
GPT-4o mini
To formulate the inequality that describes Meg's spending on soda and juice, we can start by expressing the costs of each beverage in terms of the variables given:
- Soda costs $2 per bottle, so for \( x \) bottles of soda, the cost is \( 2x \).
- Juice costs $1 per bottle, so for \( y \) bottles of juice, the cost is \( y \).
Since Meg wants to spend no more than $49, the total cost for soda and juice can be expressed as:
\[
2x + y \leq 49
\]
This is the inequality in a standard form. It denotes that the total cost of soda and juice combined should be less than or equal to $49.
- Soda costs $2 per bottle, so for \( x \) bottles of soda, the cost is \( 2x \).
- Juice costs $1 per bottle, so for \( y \) bottles of juice, the cost is \( y \).
Since Meg wants to spend no more than $49, the total cost for soda and juice can be expressed as:
\[
2x + y \leq 49
\]
This is the inequality in a standard form. It denotes that the total cost of soda and juice combined should be less than or equal to $49.