Question

mp using tools find the missing values in the ratio table. then write the equivalent ratios.
19.
calories 25 50
servings $\frac{1}{3}$ 1 $\frac{4}{3}$
20.
oxygen (liters) 4 $\frac{4}{3}$ 16
time (minute) $\frac{3}{4}$ 1

Explanation:

For Problem 19:

Step1: Find serving for 50 calories

First, find the scaling factor: $\frac{50}{25}=2$. Multiply the serving value for 25 calories by 2:
$\frac{1}{3} \times 2 = \frac{2}{3}$

Step2: Find calories for 1 serving

First, find calories per serving: $25 \div \frac{1}{3} = 25 \times 3 = 75$

Step3: Find calories for $\frac{4}{3}$ servings

Multiply calories per serving by $\frac{4}{3}$:
$75 \times \frac{4}{3} = 100$

Step1: Find time for $\frac{4}{3}$ liters

First, find the rate (liters per minute): $4 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3}$ liters/minute. Then time = liters $\div$ rate:
$\frac{4}{3} \div \frac{16}{3} = \frac{4}{3} \times \frac{3}{16} = \frac{1}{4}$

Step2: Find oxygen for 1 minute

Use the rate from Step1: $\frac{16}{3}$ liters/minute, so 1 minute has $\frac{16}{3}$ liters

Step3: Find time for 16 liters

Time = liters $\div$ rate:
$16 \div \frac{16}{3} = 16 \times \frac{3}{16} = 3$

Answer:

Missing values:

• Servings for 50 calories: $\frac{2}{3}$
• Calories for 1 serving: $75$
• Calories for $\frac{4}{3}$ servings: $100$

Equivalent ratios: $\boldsymbol{25:\frac{1}{3}}$, $\boldsymbol{50:\frac{2}{3}}$, $\boldsymbol{75:1}$, $\boldsymbol{100:\frac{4}{3}}$

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For Problem 20: