A baker records the amount of money she spends on butter for her bakery. The graph shows the cost, in dollars, based on the pounds of butter purchased.

Which statement best interprets the unit rate of the situation?
A.
For every 3 pounds of butter purchased, the cost increases by $1.
B.
For every 3 pounds of butter purchased, the cost increases by $0.33.
C.
Each pound of butter costs an additional $0.33.
D.
Each pound of butter costs an additional $3.

The dot is at 6,18

1 answer

To interpret the situation appropriately, we need to understand that the unit rate refers to the cost per pound of butter based on the points provided on the graph, particularly the point at (6, 18). This point indicates that for 6 pounds of butter, the cost is $18.

To find the unit rate (cost per pound), we can divide the total cost by the total pounds:

\[ \text{Cost per pound} = \frac{\text{Total cost}}{\text{Total pounds}} = \frac{18 \text{ dollars}}{6 \text{ pounds}} = 3 \text{ dollars/pound} \]

Now, let's evaluate the answer choices:

A. For every 3 pounds of butter purchased, the cost increases by $1.

  • This is incorrect based on our calculations.

B. For every 3 pounds of butter purchased, the cost increases by $0.33.

  • This is incorrect.

C. Each pound of butter costs an additional $0.33.

  • This is incorrect since we calculated each pound costs $3.

D. Each pound of butter costs an additional $3.

  • This statement matches our calculation that each pound of butter costs $3.

Thus, the best interpretation of the unit rate of the situation is:

D. Each pound of butter costs an additional $3.