Shopping for Groceries

Question

Christine is looking to help her father prepare dinner for the family. She has a choice of two stores to go pick up a few cans of French style green beans. Both store prices for the green beans are listed below. One store does not carry paper or plastic bags to carry groceries and charges $2 for a canvas bag to carry groceries, while the other provides free bags.
Store A
Number of Cans - 1, 2, 3, 4, 5
Total cost - 3.50, 3, 4.50, 6, 7.50

Match "True" with statements that are True and "False" with statements that are not True.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Store A and Store B have the same rate of change for French style green beans
Store A will cost less if you buy 40 cans of beans
Store A shows a proportional relationship between number of cans and cost
Store B would show a nonproportional relationship if the store charged a flat fee for paper bags

Answer 1

Let's analyze each statement based on the information provided.

1. Store A and Store B have the same rate of change for French style green beans - False

   • We don't have price information for Store B, so we cannot compare the rates of change.

2. Store A will cost less if you buy 40 cans of beans - False

   • Since the costs for Store A suggest a linear relationship but incrementally increase, it is unlikely that buying 40 cans will cost less than Store B without knowing Store B's prices.

3. Store A shows a proportional relationship between number of cans and cost - True

   • Since the costs increase consistently with the number of cans (e.g., increments of $1.50), this indicates a proportional relationship.

4. Store B would show a nonproportional relationship if the store charged a flat fee for paper bags - True

   • If a store charges a flat fee for bags in addition to the cost of the grocery items, it would create a fixed cost component, indicating a nonproportional relationship.

Putting these responses together:

• Store A and Store B have the same rate of change for French style green beans - False
• Store A will cost less if you buy 40 cans of beans - False
• Store A shows a proportional relationship between number of cans and cost - True
• Store B would show a nonproportional relationship if the store charged a flat fee for paper bags - True