Question

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? $

Answer 1

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**.