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The problem is asking which proportion can be used to determine the cost per pound of tomatoes, $ x $, given that Parker paid $9.42 for 4 pounds of tomatoes.

To solve for $ x $, we need to set up a proportion where $ x $ represents the cost per pound of tomatoes. The total cost for 4 pounds is $9.42, so the proportion should compare the total cost to the number of pounds:

\[
\frac{x}{1} = \frac{9.42}{4}
\]

This equation shows that the cost per pound $ x $ (for 1 pound) is equal to the total cost ($9.42) divided by the total number of pounds (4 pounds).

Looking at the options:

1. $\frac{x}{9.42} = \frac{4}{1}$ → This is incorrect because it compares $ x $ to the total cost, rather than to the cost per pound.
2. $\frac{x}{9.42} = \frac{1}{4}$ → This is incorrect because it also compares $ x $ to the total cost, which is the wrong ratio.
3. $\frac{4}{9.42} = \frac{x}{1}$ → This is correct, as it correctly sets up the proportion between pounds and total cost, and solves for $ x $, the cost per pound.
4. $\frac{1}{9.42} = \frac{x}{4}$ → This is incorrect because it reverses the roles of $ x $ and the total number of pounds.

Therefore, the correct answer is the third option:
\[
\frac{4}{9.42} = \frac{x}{1}
\]

Would you like more details or have any questions?

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Here are 5 relative questions to deepen your understanding:
1. How would the equation change if Parker had bought 5 pounds of tomatoes instead of 4?
2. How can we solve for $ x $ once the correct proportion is set up?
3. How is setting up a proportion helpful for solving cost-per-unit problems?
4. Can this method be applied to other unit price problems like gasoline or fruit?
5. What is the difference between a unit rate and a total cost?

**Tip**: When working with proportions, always ensure that the units on both sides of the equation match (e.g., cost per pound on one side and total cost per total weight on the other).

Parker paid $9.42 for 4 pounds of tomatoes. Which proportion can be used to determine x, the cost per pound of tomatoes?

Learn how to determine the cost per pound of tomatoes using proportions. Parker paid $9.42 for 4 pounds of tomatoes. This problem covers proportion concepts and solving for unit price, suitable for students in Grades 6-8.

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