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At the Greek Burger Joint, the soda fountain yesterday dispensed 150 sodas and used 750 ounces of syrup. What is the constant proportionality of this relationship? What is the unit rate of this relationship?

Answer 1

Ethan Adkins

#1/5#

Looking at this as a ratio of sodas to ounces of syrup:

#150:750#

simplified:

#1:5#

For direct proportion we have:

#y prop kx#

Where #k# is the constant of variation.

Let #y="sodas"# and #x="syrup"#

#1=5k#

#k=1/5#

Constant of variation is #bb(1/5)#

We can check this. If we used 1500 ounces of syrup, we would expect this to make 300 sodas.

#y=1/5(1500)=300#

So this is correct.

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