A recent newspaper article reported on Americans' eating habits. The article reported that only about one third of American adults ate 2 or more servings of fruit per day, and only 26% ate 3 or more servings of vegetables per day. Californians ate the most fruit, while Tennesseans ate the most vegetables. The state that a respondent lived in is variable.

The state that a respondent lived in is a categorical variable

Step-by-step explanation:

Categorical variable and quantitative variable:

The state that a respondent lived in is a categorical variable because it cannot be expressed in numerical,

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.