Arecipe calls for 3 ounces of flour for every 2 ounces of sugar. find the constant of proportionality

The constant of proportionality of the given is 2/3

Given:

let

y = ounces of sugar

x = ounces of flour

k = constant of proportionality

Direct variation:

y = k × x

y = kx

k = y/x

Recall,

y = ounces of sugar

y = ounces of sugarx = ounces of flour

So,

y = 2

x = 3

Therefore, k = y/x

k = 2/3.

The constant of proportionality of the given equation is 2/3

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Step-by-step explanation:

We are gonna call ''K'' the constant of proportionality:

So,

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

answer: x=60