A tropical punch recipe calls for 300 \text{ ml}300 ml300, start text, space, m, l, end text of sugar for every 222 flavor packages. Write an equation that shows the relationship between sss, the amount of sugar in milliliters, and fff, the number of flavor packages for this recipe.

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem the relationship between s and f represent a proportional relationship

so

[tex]s=kf[/tex]

Find out the value of constant of proportionality k

[tex]k=s/f[/tex]

substitute the given values

[tex]k=300/2=150[/tex]

The equation is equal to

[tex]s=150f[/tex]

vkpatel vkpatel · Answer 2 · 2020-04-27T00:36:29+02:00

Answer:

s=150f

Step-by-step explanation:

Let's find the constant of proportionality.

In the proportional relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages, one constant of proportionality is the ratio of sugar to flavor packages. It is the number we multiply by the number of flavor packages to get the amount of sugar.

f*?=s

?=s/f

=300/2

=150

The constant of proportionality is 150. This means we can multiply 150 by the number of flavor packages to get the amount of sugar.

Now, let's write the equation:

amount of sugar= sugar to flavor package ratio * number of flavor packages

s = 150f

One correct equation is:

s = 150f