A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough.

1. What is the unit rate of tablespoons of honey per cup of flour?

2. How many cups of flour would be used if 16 tablespoons of honey are used?

3. If $ f $ is the cups of flour needed, and $ h $ is the tablespoons of honey needed, write an equation that relates $ f $ and $ h $.

The unit rate is 0.8 tablespoons of honey per cup of flour. If 16 tablespoons of honey are used, they would need 20 cups of flour. The equation relating cups of flour (f) to tablespoons of honey (h) is f = 1.25h.

Explanation:

The unit rate for the problem is 8 tablespoons of honey for 10 cups of flour. This means for every cup of flour used, 0.8 tablespoons of honey are used. If the bakery used 16 tablespoons of honey, the unit rate would multiply by 2, thus, 20 cups of flour would be used.

The structured equation relating f (flour) and h (honey) would be: f = 1.25h. So, if you know the number of tablespoons of honey used, you multiply it by 1.25 to find the corresponding number of cups of flour needed.

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