Sure, let's go through the steps to find the cost per kilogram of tomatoes.
1. Identify the given values:
- The weight of the tomatoes Amy bought: [tex]\(0.4\)[/tex] kilograms.
- The cost of the tomatoes: [tex]\(\$4.00\)[/tex].
2. Understand what we need to find:
- We need to determine the cost per kilogram of tomatoes.
3. Set up the relationship between cost and weight:
- The formula to find the cost per kilogram is:
[tex]\[
\text{Cost per kilogram} = \frac{\text{Total cost}}{\text{Weight in kilograms}}
\][/tex]
4. Substitute the given values into the formula:
- The total cost is [tex]\(\$4.00\)[/tex].
- The weight in kilograms is [tex]\(0.4\)[/tex].
So, we substitute these values into the formula:
[tex]\[
\text{Cost per kilogram} = \frac{4.00}{0.4}
\][/tex]
5. Calculate the cost per kilogram:
- Performing the division:
[tex]\[
\text{Cost per kilogram} = 10.0
\][/tex]
Hence, the cost per kilogram of tomatoes is [tex]\(\$10.0\)[/tex].