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The table shows a proportional relationship between the milliliters

\[(\text{mL})\] of red paint and milliliters of yellow paint to make a certain shade of orange.
Paint mixtures
Red
\[(\text{mL})\] Yellow
\[(\text{mL})\]
\[10.5\]
\[28\]
\[7.5\]
\[20\]
\[9\]
\[24\]
? ?
A row of values is missing in the table.
Which of the following mixtures of paint could be used as the missing values in the table?

User Logan Lee
by
7.0k points

1 Answer

4 votes

The missing values in the table can be filled in with 25 mL red and 5 mL yellow, as well as 8 mL red and 3 mL yellow, maintaining the proportional relationship.

Let's go through the calculations step by step.

First, let's find the constant ratio using the given pairs of red and yellow paint values:

For the pair (10.5 mL red, 28 mL yellow):

Constant ratio = 10.5 / 28 ≈ 0.375

Now, we will use this constant ratio to find the missing values:

For the missing pair (? mL red, ? mL yellow), where the red amount is unknown:

? = 0.375 * ? (constant ratio)

To find the corresponding yellow amount, we use the constant ratio:

? = 0.375 * ? / 0.375 (cancelling out the constant ratio)

This results in ? = ?, indicating that any pair with the same constant ratio will work. Therefore, 25 mL red and 5 mL yellow can be used.

Similarly, for the second missing pair (? mL red, ? mL yellow), where the red amount is unknown:

? = 0.375 * ? (constant ratio)

To find the corresponding yellow amount, we use the constant ratio:

? = 0.375 * ? / 0.375 (cancelling out the constant ratio)

This also results in ? = ?, indicating that any pair with the same constant ratio will work. Therefore, 8 mL red and 3 mL yellow can be used.

The question probable may be:

The table shows a proportional relationship between the milliliters (ML) of red paint and milliliters of yellow paint to make a certain shade of orange. A row of values is missing in the table. What would be the missing values in the table?

Paint mixtures

Red(ml) Yellow (ml)

10.5 28

7,5 20

9 24

? ?

User Yogesh Funde
by
7.6k points