a store sells packages of butter. the table below shows the cost, in dollars, for different numbers of…

a store sells packages of butter. the table below shows the cost, in dollars, for different numbers of packages of butter.\n\ncost of butter\n| number of packages | 3 | 4 | 7 | 11 |\n| :--- | :--- | :--- | :--- | :--- |\n| cost (dollars) | 9.75 | 13.00 | 22.75 | 35.75 |

a store sells packages of butter. the table below shows the cost, in dollars, for different numbers of packages of butter.\n\ncost of butter\n| number of packages | 3 | 4 | 7 | 11 |\n| :--- | :--- | :--- | :--- | :--- |\n| cost (dollars) | 9.75 | 13.00 | 22.75 | 35.75 |

Answer

Explanation:

Step1: Identify the variables

Let $x$ be the number of packages and $y$ be the cost in dollars.

Step2: Calculate the unit rate

Divide the cost by the number of packages for any given pair in the table. $$k = \frac{y}{x} = \frac{9.75}{3}$$

Step3: Perform the division

Calculate the cost per single package. $$k = 3.25$$

Step4: Verify with other values

Check if the rate is consistent for other pairs. $$\frac{13.00}{4} = 3.25, \quad \frac{22.75}{7} = 3.25, \quad \frac{35.75}{11} = 3.25$$

Answer:

The cost per package of butter is $3.25.