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
To determine the unit rate of the proportional relationship displayed on the graph, follow these steps:
1. Look at the graph, which displays the cost per ounce of canned peas.
2. Identify two points on the graph that lie on the same line. These points should have their x-coordinates (representing ounces) and their y-coordinates (representing cost) available.
3. Find the difference in the y-coordinates (cost) between these two points.
4. Find the difference in the x-coordinates (ounces) between these two points.
5. Divide the difference in cost by the difference in ounces.
For example, if you have two points, A and B, with coordinates (2, $1.50) and (4, $3.00) respectively, perform the following calculations:
Difference in cost = $3.00 - $1.50 = $1.50
Difference in ounces = 4 - 2 = 2
Unit Rate = Difference in cost / Difference in ounces
= $1.50 / 2
= $0.75 per ounce
Therefore, the unit rate of the proportional relationship displayed on the graph is $0.75 per ounce.
To determine the unit rate from the graph, we need to find the slope. The slope represents the rate of change or how much the cost per ounce changes for each additional ounce.
Looking at the graph, we can see that the cost per ounce increases by $0.20 for each additional ounce. Therefore, the slope or unit rate of the proportional relationship is $0.20 per ounce.
To determine the unit rate of the proportional relationship on the graph, you need to find the slope. The slope represents the rate of change, or how much the cost per ounce changes for each additional unit.
Here's how you can find the slope:
1. Look at any two points on the graph that represent the cost per ounce. For example, let's choose the points (2, $0.50) and (4, $1.00).
2. Determine the change in the cost per ounce. In this case, the cost per ounce increases from $0.50 to $1.00.
3. Determine the change in the number of ounces. In this case, the number of ounces increases from 2 to 4.
4. Divide the change in the cost per ounce by the change in the number of ounces. In this case, (1, $0.50) and (2, $1.00), so the change in the cost per ounce is $1.00 - $0.50 = $0.50, and the change in the number of ounces is 4 - 2 = 2. Therefore, the slope (unit rate) of the proportional relationship is $0.50 รท 2 = $0.25.
Therefore, the unit rate of the proportional relationship is $0.25 per ounce.