A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. Theline represents the relationship between the amount of oil and the amount of vinegar needed tomake 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 theproportional relationship between oiland vinegar. Indicate the meaning ofeach variable.c. Explain the meaning of the point (1.1.5)in terms of the situation.(1.1.5)

Accepted Solution

Answer:Part a), Part b) and Part c) see the explanationStep-by-step explanation:we know thatA 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 originLetx -----> the amount of vinegar in tablespoonsy ----> the amount of oil in tablespoonsIn this problemThe relationship between the  variables x and y represent a proportional variationThe constant of proportionality k is equal to the ratio  of the recipeso[tex]k=\frac{3}{2}[/tex]substituteThe linear equation is equal to[tex]y=\frac{3}{2}x[/tex]Explain the meaning of the point (1.1.5)we havex=1, y=1.5In the context of the situationThis 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