Question

The carnival is arriving in the neighborhood! Leo has saved up $15 to spend at the carnival on food and attractions. Food items cost $4 each and attractions cost $2 each. Leo uses the expression 4a + 2b to determine the total cost for a food items and b attractions. Select one of the following combinations of food items and attractions that Leo can afford with his $15 budget: (1 point) Responses 2 food items and 4 attractions 2 food items and 4 attractions 3 food items and 2 attractions 3 food items and 2 attractions 0 food items and 8 attractions 0 food items and 8 attractions 1 food item and 5 attractions

Answer 1

To determine which combinations Leo can afford with his $15 budget, we can calculate the total cost for each combination using the expression \(4a + 2b\), where \(a\) is the number of food items and \(b\) is the number of attractions.

1. **2 food items and 4 attractions**:
\[
4(2) + 2(4) = 8 + 8 = 16 \quad \text{(not affordable)}
\]

2. **3 food items and 2 attractions**:
\[
4(3) + 2(2) = 12 + 4 = 16 \quad \text{(not affordable)}
\]

3. **0 food items and 8 attractions**:
\[
4(0) + 2(8) = 0 + 16 = 16 \quad \text{(not affordable)}
\]

4. **1 food item and 5 attractions**:
\[
4(1) + 2(5) = 4 + 10 = 14 \quad \text{(affordable)}
\]

Based on these calculations, the only combination Leo can afford within his $15 budget is **1 food item and 5 attractions**.