Final answer:
Noah is comparing the costs of orange juice at two stores using a linear equation for store A and a graph for store B, indicating two different pricing structures.
Step-by-step explanation:
Noah is comparing the price of orange juice at two different stores. The equation y = 2.19x where 'y' represents the total cost in dollars and 'x' the number of orange juice bottles, shows a linear relationship between the quantity of orange juice bottles purchased and the total price paid at store A. For store B, the relationship is also likely linear as it is represented on a graph, though the specific details of that graph are not provided in the question. When comparing both, Noah is essentially examining the differences in pricing structures between the two stores.
For example, if similar to Svetlana’s tutoring sessions, where her earnings are expressed by the equation y = 25 + 15x, the cost of orange juice at store B could also be expressed in a linear equation form. If that form were, for instance, y = 1.99x, it would mean that at store B, Noah would pay $1.99 per bottle of orange juice. Comparing both stores, if Noah buys 10 bottles, he would pay $21.90 at store A and potentially $19.90 at store B, if our hypothetical equation is true.
Understanding these concepts is important, as this type of straightforward linear relationship is similar to calculating the cost of individual stocks fluctuating over time or computing the amount spent on different fruits, where quantities are multiplied by their respective prices.