Question

Hana has some blue paint. She wants to lighten the shade, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.

A. Explain in words how much paint Hana should have added initially to get the shade she wants.

Enter your answer.
B. Model With Mathematics Represent your answer to part A with one or more inequalities.

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C. Hana decides that she likes the shades of blue that appear in between adding 1 cup and 4 cups of white paint. How can you represent the number of cups of white paint that yield the shades Hana prefers?

Enter your answer.

Answer 1

Hana should have added more than 1 cup but less than 4 cups of white paint to achieve her desired shade of blue. This is represented mathematically by the inequality 1 < x < 4, where x is the number of cups of white paint.

Step-by-step explanation:

Hana is trying to achieve a shade of blue that is not too light and not too dark by mixing in white paint. To get the shade she wants, Hana should have added more than 1 cup but less than 4 cups of white paint initially.

Model With Mathematics:

• Using inequalities to represent the scenario, if x represents the number of cups of white paint Hana should add to the blue paint, then:

• 1 < x < 4

Preferred Shade Range:

• To represent the number of cups of white paint that yield the preferred shades of blue, we would use a similar inequality:

• 1 < x < 4

This inequality states that Hana prefers the shades resulting from adding more than 1 cup but less than 4 cups of white paint to the blue paint.

Answer 2

e, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.

A. Explain in words how much paint Hana should have added initially to get the shade she wants.

Enter your answer.

B. Mod

Step-by-step explanation: