A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The
line represents the relationship between the amount of oil and the amount of vinegar needed to
make salad dressing according to this recipe. The point (1.1.5) is on the line.
a. Label the axes appropriately.
b. Write an equation that represents the
proportional relationship between oil
and vinegar. Indicate the meaning of
each variable.
c. Explain the meaning of the point (1.1.5)
in terms of the situation.
(1.1.5)

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 a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the amount of vinegar in tablespoons

y ----> the amount of oil in tablespoons

In this problem

The relationship between the variables x and y represent a proportional variation

The constant of proportionality k is equal to the ratio of the recipe

so

[tex]k=\frac{3}{2}[/tex]

substitute

The linear equation is equal to

[tex]y=\frac{3}{2}x[/tex]

Explain the meaning of the point (1.1.5)

we have

x=1, y=1.5

In the context of the situation

This means ----->The amount of oil needed is 1 (tablespoon) if the amount of vinegar used is 1.5 (tablespoons) to make the salad dressing according to this recipe.

see the attached figure to better understand the problem

maddiepuckett4711 maddiepuckett4711 · Answer 2 · 2020-10-28T19:46:03+01:00

Answer:

The answer is in the bold sentences and underlined

Step-by-step explanation:

1. Tell which axis represents oil and which axis represents vinegar (in tablespoons)

Y repersents table spoons in oil and the X repersents the table spoons in vineger.

2. Write an equation that represents the proportioanl relationship between oil and vinegar. Label your variables.

oil needed is 1 tablespoon the amount of vinegar used is 1.5 tablespoons to make the salad dressing the correct way and for it to be porporsinal

3. Explain the meaning of the point (1, 1.5) in terms of the situation that the graph represents.

for every 1 tablespoon of viniger there is 1.5 table spoons of oil x=1, y=1.5