Compare proportion from Graphs & Equations Practice

Q1. Which of these graphs shows a lower unit cost, 1 or 2

A1 2

A2 -3/2

A3 0.75

A4 10

A5 y=30x

All 100% I go back to get the answer
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Based on the given options, none of them directly represent a lower unit cost. Graphs or equations that show a lower unit cost would have a downward slope or a lower numerical value. None of the options provided clearly indicate a lower unit cost. Therefore, none of the options numbered 1-5 are correct.

To determine which graph shows a lower unit cost, we need to analyze the options given. Let's consider each option one by one:

1. Graph 1: No information is provided about this graph's unit cost.

2. Graph 2: Similarly, no information is given about the unit cost of this graph.

3. -3/2: This isn't a graph or a unit cost; it is a fraction.

4. 0.75: Again, this is not a graph, but a value.

5. y=30x: This is an equation represented in slope-intercept form. The coefficient of x (30) indicates the unit cost. In this equation, the unit cost is 30.

Based on the given options, it seems that the correct answer is A5 (y=30x), since it is the only one that provides information about the unit cost.

Remember to verify the exact instructions and any additional information provided for the question.

To compare the unit cost from the given options, we need to understand what unit cost means. The unit cost is the cost per unit of a product or service. In this case, we are looking for the graph or equation that represents a lower unit cost.

To determine the unit cost from a graph, we need to find the slope of the line. The slope represents the change in the cost (y) divided by the change in the quantity (x). A steeper slope indicates a higher unit cost, while a flatter slope indicates a lower unit cost.

To determine the unit cost from an equation, we can look at the coefficient of the variable representing the quantity. The coefficient represents the cost per unit. A smaller coefficient corresponds to a lower unit cost.

Now, let's examine the options:

Option A1: There is no information given about this option.

Option A2: -3/2 represents the slope of a line. Since the magnitude of -3/2 is greater than 1, the unit cost would be higher.

Option A3: 0.75 is the coefficient in the equation y=0.75x. This means that the unit cost is 0.75, which is lower compared to a unit cost of 1.

Option A4: 10 doesn't provide enough information to determine the unit cost.

Option A5: y=30x represents an equation with a coefficient of 30, indicating a much higher unit cost compared to 1.

Based on the analysis, we can conclude that option A3 (0.75) represents a lower unit cost compared to the other options. Therefore, the answer is option 3.

Remember to always critically evaluate the reasoning and double-check the answer. While bots can provide explanations based on information given, it's essential to exercise caution and verify the answer independently.