To determine the appropriate description of the farmer's graph and calculate the total cost for 20.75 pounds of almonds, let's follow these steps:
1. Identify the price per pound category:
- We need to find the cost per pound for an order of 20.75 pounds of almonds.
- According to the price chart:
- For more than 20 up to 30 pounds, the cost per pound is [tex]$10.
- Since 20.75 pounds falls within this range (more than 20 and up to 30), the cost per pound is $[/tex]10.
2. Calculate the total cost:
- The total cost is found by multiplying the number of pounds by the cost per pound.
- Number of pounds = 20.75
- Cost per pound = [tex]$10
- Total cost = 20.75 pounds * $[/tex]10 per pound = [tex]$207.50
3. Describe the segment on the graph:
- For the range "more than 20 and up to 30 pounds," the graph will represent this price range.
- The horizontal segment will be at the cost per pound of $[/tex]10.
- At x = 20, the cost is [tex]$10 and the circle will be closed since the interval starts from 20 (inclusive).
- At x = 30, the cost is $[/tex]10 but the circle will be open since the interval does not include 30 (it’s up to, but not including, 30).
Based on these steps, the appropriate description of the graph segment and the total cost for 20.75 pounds of almonds is:
- A horizontal segment with a closed circle at (20,10) and an open circle at (30,10); [tex]$207.50
So, the correct choice is:
- a horizontal segment with a closed circle at $[/tex](20,10)[tex]$ and an open circle at $[/tex](30,10); \[tex]$ 207.50$[/tex]
