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9. find the missing values in the ratio table. then write the equivalen…

Question

  1. 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 known values:
$\text{Ratio constant} = \frac{3.75}{1.5} = 2.5$
This means tea is always 2.5 times the amount of milk.

Step2: Calculate tea for 1 cup milk

Multiply milk amount by the ratio constant:
$\text{Tea} = 1 \times 2.5 = 2.5$

Step3: Calculate tea for 3.5 cups milk

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

Step4: Calculate tea for 2.5 cups milk

Multiply milk amount by the ratio constant:
$\text{Tea} = 2.5 \times 2.5 = 6.25$

Answer:

Missing tea values (from left to right): $2.5$, $8.75$, $6.25$
Equivalent ratios: $3.75:1.5$, $2.5:1$, $8.75:3.5$, and $6.25:2.5$