Question

A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. What is the price of 1 pound of potatoes? Show your work.

Answer 1

The price of 1 pound of potatoes is $0.75.

Step-by-step explanation:

To find the price of 1 pound of potatoes, we use the given ordered pair (4, 3), where x represents the number of pounds of potatoes and y represents the price in dollars. In this case, x is 4, and y is 3. Since the relationship is proportional, we can set up a proportion:

`\[ (x_1)/(y_1) = (x_2)/(y_2) \]`

Plugging in the values from the ordered pair, we get:

`\[ (4)/(3) = (x)/(1) \]`

Cross-multiplying to solve for x, we find that
`\( x = 4 * 1 = 4 \)`. Therefore, the price of 4 pounds of potatoes is $3.

To find the price of 1 pound, we divide the total price by the number of pounds:

`\[ \text{Price per pound} = \frac{\text{Total price}}{\text{Number of pounds}} \]`

Substituting in the values, we get:

`\[ \text{Price per pound} = (3)/(4) = 0.75 \]`

So, the final answer is that the price of 1 pound of potatoes is $0.75.