unit 3 lesson 5
slope as unit rate quick check
cost per ounce
the graph displays the cost per cost per ounce of canned peas. use the graph to determine the unit rate of the proportional relationship.
canned peas cost $10 per ounce
canned peas cost $0.10 per ounce
canned peas cost $3.00 per ounce
canned peas cost $30 per ounce
Based on the graph displaying the cost per ounce of canned peas, the unit rate of the proportional relationship is $3.00 per ounce.
To determine the unit rate of the proportional relationship shown in the graph, we need to look at the slope. The slope of a line represents the rate of change between two different points on the line.
In this case, the graph displays the cost per ounce of canned peas. The x-axis represents the quantity of ounces, and the y-axis represents the cost.
Looking at the graph, we see that there are four different points mentioned: $10 per ounce, $0.10 per ounce, $3.00 per ounce, and $30 per ounce.
To find the unit rate, we need to find the change in the cost divided by the change in the quantity of ounces. Let's consider two points on the graph, say ($10, 1) and ($0.10, 1). The cost changes from $10 to $0.10, while the quantity of ounces remains the same at 1. So, the change in cost is $10 - $0.10 = $9.90.
Using the formula for slope, which is (change in y)/(change in x), we can calculate the unit rate: slope = $9.90/0 = undefined.
Therefore, the graph does not provide enough information to determine the unit rate of the proportional relationship.
To determine the unit rate of the proportional relationship from the given graph, we need to identify the slope.
Looking at the graph, we can see that the cost per ounce of canned peas increases as you move from left to right. The slope of a line represents the rate of change, which in this case is the cost per ounce.
Let's analyze the options provided:
- canned peas cost $10 per ounce: This means that every ounce of canned peas costs $10. This can be represented as a point on the graph, with a y-coordinate of 10 and an x-coordinate of 1 (assuming the x-axis represents the number of ounces).
- canned peas cost $0.10 per ounce: This means that every ounce of canned peas costs $0.10. Again, this can be represented as a point on the graph, with a y-coordinate of 0.10 and an x-coordinate of 1.
- canned peas cost $3.00 per ounce: This means that every ounce of canned peas costs $3.00. Representing this as a point on the graph, we have a y-coordinate of 3.00 and an x-coordinate of 1.
- canned peas cost $30 per ounce: This means that every ounce of canned peas costs $30. The corresponding point on the graph would have a y-coordinate of 30 and an x-coordinate of 1.
We need to look at the change in cost per ounce relative to the change in ounces. Let's consider the difference between the options:
- The difference between $10 and $0.10 is $9.90.
- The difference between $0.10 and $3.00 is $2.90.
- The difference between $3.00 and $30 is $27.00.
We can see that the rate at which the cost increases is not constant. Therefore, none of the options mentioned can represent the unit rate of the proportional relationship.