Constant Rate of Change

using equations to solve problems

To make the breat their are 8 table spoons of honey to 10 cups of flour.

Poll

Using the same ratio of 8 table spoons of honey to 10 cups of flour, which of the following ratios will create bread that tastes the same?

• 4 table spoons of honey to 6 cups of flour

• 4 table spoons of honey to 5 cups of flour

• 12 table spoons of honey to 15 cups of flour

• 80 table spoons of honey to 100 cups of flour

In this problem we have a constant of proportionality or a unit rate

The unit rate is 0.8 table spoons of honey for every 1 cup of flour. Or 1.25 cups of flour for every 1 table spoon of honey.

Because we know the constants of proportionality, we also can create two equations to represent this situation

• c = 0.8h

• h = 1.25c

Multiple Choice

What is the constant of proportionality in the equation c = 1.25h

• 1.25

• h

• c

• =

Poll

Are you able to find the constant of proportionality on your own?

• yes

• no

• kind of

Remember that in the equation below, k represents the constant of proportionality.

y = kx

Multiple Choice

Mr. Cotton is making pink paint. He uses a mix of 2 parts red, 3 parts white to cover one wall. If he wants to cover 2 walls, how many parts red and how many parts white will he need?

• 4 parts red, 5 parts white

• 4 parts red, 6 parts white

Open Ended

Mr. Cotton is making pink paint. He uses a mix of 2 parts red, 3 parts white to cover one wall. What is the constant of proportionality in this relationship?

Describe what your constant of proportionality represents in this relationship.

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