At the farmer's market there is someone selling spices. There is a cost to buy the jar that holds the spices, then there is a cost per ounce of spices.

The table represents the graph that displays this relationship between total cost and ounces of spices you buy.

Ounces Total Cost
0 $5.00
2 $14.00
4 $23.00
10 $50.00


(1 point)
What is the price per ounce of spices? $

1 answer

To find the price per ounce of spices, we can use the information from the table.

First, we note the total cost at 0 ounces, which is $5.00. This represents the cost of the jar. For every additional ounce of spices, there is an additional cost.

Next, let's look at the data points provided in the table:

  • At 0 ounces, the total cost is $5.00.
  • At 2 ounces, the total cost is $14.00.
  • At 4 ounces, the total cost is $23.00.
  • At 10 ounces, the total cost is $50.00.

To find the cost of spices per ounce, we can look at the difference in total cost as ounces increase:

  1. From 0 to 2 ounces: \[ \text{Cost for 2 ounces} = $14.00 - $5.00 = $9.00 \] This means that 2 ounces of spices cost $9.00, so the price per ounce is: \[ \text{Price per ounce} = \frac{$9.00}{2} = $4.50 \]

  2. We can verify this with the other data points as well:

    • From 2 ounces to 4 ounces: \[ \text{Cost for 2 more ounces} = $23.00 - $14.00 = $9.00 \]
    • From 4 ounces to 10 ounces (6 ounces): \[ \text{Cost for 6 ounces} = $50.00 - $23.00 = $27.00 \] Cost per ounce for 6 ounces: \[ \text{Price per ounce} = \frac{$27.00}{6} = $4.50 \]

Thus, the price per ounce of spices is $4.50.