Pregunta
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17. The recipe makes 1 serving of punch. If Alex used 3 cups of pineapple juice to make her punch, how many servings did she make? Use the equation \( \frac{3}{4} s=3 \) to find the number of servings. She made \( \square \) servings. (Type a whole number.)

Ask by Medina Hammond. in the United States
Jan 23,2025

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She made 4 servings.

Solución

To determine how many servings Alex made, let's solve the equation provided: \[ \frac{3}{4} s = 3 \] **Step 1:** Solve for \( s \). Multiply both sides of the equation by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \): \[ s = 3 \times \frac{4}{3} \] **Step 2:** Simplify the equation. \[ s = 4 \] **Conclusion:** She made **4** servings.

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Bonus Knowledge

To solve the equation \( \frac{3}{4} s = 3 \), you can start by multiplying both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \). This gives you \( s = 3 \cdot \frac{4}{3} \). Performing the multiplication results in \( s = 4 \). So, Alex made 4 servings of punch! Speaking of punch, did you know that punch has roots tracing back to the 17th century? It originated in India and was brought to England by sailors. The word "punch" is derived from the Hindi word "panch," which means five, referring to the five original ingredients: alcohol, sugar, lemon, water, and tea or spices! Punch isn’t just for parties—it's also a fantastic way to showcase seasonal fruits! You can create refreshing variations by adding things like berries, citrus slices, or even herbs like mint. When experimenting, remember to balance sweetness and acidity, as too much sugar can lead to an overly sweet concoction. Enjoy mixing flavors and get ready to impress your friends with your punch skills!

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Point-Slope Form For each row, you and your partner will answer the question shown. Begin by reading each scenario. Using point-slope form, write the equation of the line that describes this scenario. Then, rewrite the equation in slope-intercept form. You and your partner should get the same answer for slope-intercept form. If you disagree, work together to reach an agreement. Partner A 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 4 games and spent a total of \( \$ 20 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 4.50 \) for 3 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 5 hours, there are 24 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 10 minutes, there are 5 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 5 days and pays \( \$ 700 \). Partner B 1. In order to enter the state fair, there is an admission cost. Each game is \( \$ 3 \). Steven went to the state fair, played 10 games and spent a total of \( \$ 38 \) on admission and games. 2. At a chili cook off, people pay \( \$ 0.50 \) for each sample bowl of chili. The total cost was \( \$ 6.50 \) for 7 bowls of chili. 3. CJ loves Girl Scout cookies. He eats 3 cookies per hour. After 3 hours, there are 30 cookies left in the box. 4. An oil tank is being filled at a constant rate of 0.2 gallons per minute. After 5 minutes, there are 4 gallons of oil in the tank. 5. The total cost of renting a vacation home includes a deposit and a daily rental fee of \( \$ 125 \). A family rents a vacation home for 3 days and pays \( \$ 450 \). Talk About it! Return to Examples 1-5. Identify the \( y \)-intercept in each scenario. Explain the meaning of the \( y \)-intercept in terms of the context.
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