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Answer: A. $30.00

Step-by-step explanation:

1. Find the common difference, or by how much the value changes per pound.   Divide the price of the sales by the amount of pounds to find the rate. The rate must be $2.50 since 10 ÷ 4 = 2.5. To confirm, use 2 or 3 pairs of values. 15 ÷ 6 = 2.5, which confirms that the common difference is 2.5. This means that every pound of asparagus is $2.5.

2. Now that the rate is known, multiply it by 12. 2.5 * 12 = $30.00, which is the final answer.

Each of these is proportional to the other. Meaning, if you put the price over the pounds, then you get a fraction that remains consistent throughout the entire table and beyond.

[tex]\frac{price}{pounds}=\frac{10}{4} =\frac{5}{2}[/tex] so [tex]\frac{5}{2}[/tex] will be our constant ratio. With our formula, we know that the two equal each other, so [tex]\frac{price}{pounds}=\frac{5}{2}[/tex].

[tex]\frac{x}{10}=\frac{5}{2}\\[/tex] so [tex]2x=50\\x=25[/tex]

[tex]\frac{x}{12}=\frac{5}{2}[/tex] so [tex]2x=60\\x=30[/tex]

12 pounds of asparagus is $30.00

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