Question

use the graphs to determine which recipe has the strongest taste of lemon - lime and which recipe has the weakest taste of lemon - lime. use the graph to explain your answer.
carlos recipe has the select taste of lemon - lime.
zebs recipe has the select taste of lemon - lime.
the lines indicate that carlos recipe contains select lemon - lime concentrate for a given amount of club soda than the other recipes.

Explanation:

Step1: Analyze the slope of each line

The slope of a line in this context represents the ratio of cups of lemon - lime concentrate to cups of club soda. A steeper slope means a higher concentration of lemon - lime (stronger taste), and a less steep slope means a lower concentration (weaker taste).

For Carlos' recipe (blue line), Bobbi's recipe (red line), Adam's recipe (purple line), and Zeb's recipe (teal line), we can visually compare the slopes. The blue line (Carlos' recipe) is the steepest among them, and the teal line (Zeb's recipe) is the least steep.

Step2: Determine the taste strength

A steeper slope implies that for a given amount of club soda (x - value), the amount of lemon - lime concentrate (y - value) is higher. So, a steeper line means a stronger taste of lemon - lime, and a less steep line means a weaker taste.

Since Carlos' line is the steepest, Carlos' recipe has the strongest taste of lemon - lime. Since Zeb's line is the least steep, Zeb's recipe has the weakest taste of lemon - lime. And Carlos' recipe contains more lemon - lime concentrate for a given amount of club soda than the other recipes.

Answer:

Carlos' recipe has the strongest taste of lemon - lime.
Zeb's recipe has the weakest taste of lemon - lime.
The lines indicate that Carlos' recipe contains more lemon - lime concentrate for a given amount of club soda than the other recipes.