Question
The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.
2.50p ≥ 135; p ≥ 337.5
135p ≥ 2.50; p ≥ 54
2.50p ≥ 135; p ≥ 132.5
2.50p ≥ 135; p ≥ 54
Solve the inequality.
3/10
k ≤
k ≥
k ≤
k ≤
2.50p ≥ 135; p ≥ 337.5
135p ≥ 2.50; p ≥ 54
2.50p ≥ 135; p ≥ 132.5
2.50p ≥ 135; p ≥ 54
Solve the inequality.
3/10
k ≤
k ≥
k ≤
k ≤
Answers
GPT-4o mini
To determine how many pastries (\( p \)) the French club must sell to raise at least $135, we need to set up the inequality based on the price per pastry.
The total amount raised from selling pastries can be expressed as \( 2.50p \) (where \( p \) is the number of pastries sold). We want this amount to be at least $135, so we can write the inequality as:
\[
2.50p \geq 135
\]
Now, we can solve for \( p \) by dividing both sides of the inequality by 2.50:
\[
p \geq \frac{135}{2.50}
\]
Calculating the right side:
\[
\frac{135}{2.50} = 54
\]
Thus, we have:
\[
p \geq 54
\]
This means the French club must sell at least **54 pastries** to meet their goal of $135.
Now, let's review the provided options to find the correct one:
- **Option A**: 2.50p ≥ 135; p ≥ 337.5 (Incorrect)
- **Option B**: 135p ≥ 2.50; p ≥ 54 (Incorrect)
- **Option C**: 2.50p ≥ 135; p ≥ 132.5 (Incorrect)
- **Option D**: 2.50p ≥ 135; p ≥ 54 (Correct)
Thus, the correct option is **Option D**: \( 2.50p \geq 135; p \geq 54 \).
If you need to solve for \( k \) as per the second part of your query, please clarify the context or provide the specific inequality or equation for me to analyze.
The total amount raised from selling pastries can be expressed as \( 2.50p \) (where \( p \) is the number of pastries sold). We want this amount to be at least $135, so we can write the inequality as:
\[
2.50p \geq 135
\]
Now, we can solve for \( p \) by dividing both sides of the inequality by 2.50:
\[
p \geq \frac{135}{2.50}
\]
Calculating the right side:
\[
\frac{135}{2.50} = 54
\]
Thus, we have:
\[
p \geq 54
\]
This means the French club must sell at least **54 pastries** to meet their goal of $135.
Now, let's review the provided options to find the correct one:
- **Option A**: 2.50p ≥ 135; p ≥ 337.5 (Incorrect)
- **Option B**: 135p ≥ 2.50; p ≥ 54 (Incorrect)
- **Option C**: 2.50p ≥ 135; p ≥ 132.5 (Incorrect)
- **Option D**: 2.50p ≥ 135; p ≥ 54 (Correct)
Thus, the correct option is **Option D**: \( 2.50p \geq 135; p \geq 54 \).
If you need to solve for \( k \) as per the second part of your query, please clarify the context or provide the specific inequality or equation for me to analyze.