Let's carefully analyze the problem step by step.
1. Identify the Variables and Costs:
- We are asked to find the equation to determine the cost of cheese.
- Let [tex]\( c \)[/tex] be the cost of cheese.
2. Express the Costs of Other Items in Terms of Cheese:
- The milk costs half as much as the cheese. Therefore, the cost of milk is [tex]\( 0.5c \)[/tex].
- The meat costs four times as much as the cheese. Hence, the cost of meat is [tex]\( 4c \)[/tex].
3. Total Cost:
- Karla spent a total of [tex]\( \$48 \)[/tex] on food.
- This total includes the cost of milk, cheese, and meat.
4. Create the Equation:
- The sum of the cost of milk, cheese, and meat should be equal to [tex]\( \$48 \)[/tex].
- Thus, we can write the equation as:
[tex]\[
c + 0.5c + 4c = 48
\][/tex]
5. Verify the Equation:
- Combine the terms on the left side:
[tex]\[
c + 0.5c + 4c = 48
\][/tex]
- This simplifies to:
[tex]\[
1.5c + 4c = 48
\][/tex]
[tex]\[
5.5c = 48
\][/tex]
Considering this step-by-step breakdown, we see that the correct equation is:
[tex]\[
c + 0.5c + 4c = 48
\][/tex]
So the correct answer is:
[tex]\[
c + 0.5c + 4c = 48
\][/tex]
