Question

find the missing values in the ratio table. then write the equivalent ratios.
tea (cups) 3.75 □ □ □
milk (cups) 1.5 1 3.5 2.5
the equivalent ratios are $3.75:1.5$, $\square:1$ , $\square:3.5$ , and $\square:\square$ .

Explanation:

Step1: Find the ratio constant

First, calculate the ratio of tea to milk using the given pair:
$\text{Ratio constant } k = \frac{3.75}{1.5} = 2.5$

Step2: Calculate tea for 1 cup milk

Multiply milk amount by $k$:
$\text{Tea} = 1 \times 2.5 = 2.5$

Step3: Calculate tea for 3.5 cups milk

Multiply milk amount by $k$:
$\text{Tea} = 3.5 \times 2.5 = 8.75$

Step4: Calculate tea for 2.5 cups milk

Multiply milk amount by $k$:
$\text{Tea} = 2.5 \times 2.5 = 6.25$

Answer:

The missing tea values (in order) are 2.5, 8.75, 6.25.
The equivalent ratios are $3.75:1.5$, $2.5:1$, $8.75:3.5$, and $6.25:2.5$.