To determine the number of cups of yogurt Monica can buy given her budget and the costs involved, we need to set up and solve an inequality.
### Step-by-Step Solution:
1. Identify the Initial Amount of Money:
Monica has \[tex]$20.
2. Identify the Costs:
- A gallon of milk costs $[/tex]2.50.
- Each cup of yogurt costs [tex]$1.20.
3. Set up the Inequality:
Let's denote the number of cups of yogurt Monica wants to buy as \(x\). The total cost of the yogurt would then be \(1.20 \times x\).
4. Include the Fixed Cost of Milk:
Since Monica needs to buy one gallon of milk, we add the cost of the milk ($[/tex]2.50) to the cost of the yogurt.
5. Formulate the Total Cost Expression:
The total cost of the milk and the yogurt is:
[tex]\[
1.20 x + 2.5
\][/tex]
6. Set Up the Inequality:
Monica wants her total spending to be within her budget of \[tex]$20. Therefore, the total cost must be less than or equal to \$[/tex]20:
[tex]\[
1.20 x + 2.5 \leq 20
\][/tex]
Therefore, the correct inequality to use to determine the number of cups of yogurt Monica can buy is:
[tex]\[
1.20 x + 2.5 \leq 20
\][/tex]
So, the correct answer is:
[tex]\[
1.20 x + 2.5 \leq 20
\][/tex]
