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.

Question

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

1 food item and 5 attractions
1 food item and 5 attractions

0 food items and 8 attractions
0 food items and 8 attractions

3 food items and 2 attractions

Answer 1

To determine which combination of food items and attractions Leo can afford, we will evaluate the total cost of each option 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: \[ 4(2) + 2(4) = 8 + 8 = 16 \] Total cost: $16 (not affordable)

2. 1 food item and 5 attractions: \[ 4(1) + 2(5) = 4 + 10 = 14 \] Total cost: $14 (affordable)

3. 0 food items and 8 attractions: \[ 4(0) + 2(8) = 0 + 16 = 16 \] Total cost: $16 (not affordable)

4. 3 food items and 2 attractions: \[ 4(3) + 2(2) = 12 + 4 = 16 \] Total cost: $16 (not affordable)

Based on the calculations, the only combination of food items and attractions that Leo can afford with his $15 budget is 1 food item and 5 attractions.