Question
Beth and her friends are watching an ice hockey game, so Beth decides to buy 4 cups of hot chocolate to share. She figures she'll spend at least $14 on the hot chocolate in all.
Let x represent how much Beth expects each cup of hot chocolate to cost. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Beth expects each cup of hot chocolate to cost at least
Let x represent how much Beth expects each cup of hot chocolate to cost. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Beth expects each cup of hot chocolate to cost at least
Answers
GPT-4o mini
Let \( x \) represent the cost of each cup of hot chocolate. Beth is buying 4 cups, so the total cost can be expressed as \( 4x \). According to the problem, Beth figures she'll spend at least $14, which gives us the inequality:
\[
4x \geq 14
\]
To solve the inequality, we can divide both sides by 4:
\[
x \geq \frac{14}{4}
\]
Simplifying \( \frac{14}{4} \) gives us:
\[
x \geq 3.5
\]
Therefore, the solution to the inequality is that \( x \) must be at least $3.50.
To complete the sentence:
Beth expects each cup of hot chocolate to cost at least **$3.50**.
\[
4x \geq 14
\]
To solve the inequality, we can divide both sides by 4:
\[
x \geq \frac{14}{4}
\]
Simplifying \( \frac{14}{4} \) gives us:
\[
x \geq 3.5
\]
Therefore, the solution to the inequality is that \( x \) must be at least $3.50.
To complete the sentence:
Beth expects each cup of hot chocolate to cost at least **$3.50**.