he 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 0 food items and 8 attractions 0 food items and 8 attractions 1 food item and 5 attractions 1 food item and 5 attractions 3 food items and 2 attractions

Answer 1

To determine which combination of food items (a) and attractions (b) Leo can afford with his $15 budget, we can use the expression \(4a + 2b \leq 15\).

Let's analyze each option:

1. 2 food items and 4 attractions:
   \(a = 2\), \(b = 4\)
   Total cost = \(4(2) + 2(4) = 8 + 8 = 16\) (exceeds budget)

2. 0 food items and 8 attractions:
   \(a = 0\), \(b = 8\)
   Total cost = \(4(0) + 2(8) = 0 + 16 = 16\) (exceeds budget)

3. 1 food item and 5 attractions:
   \(a = 1\), \(b = 5\)
   Total cost = \(4(1) + 2(5) = 4 + 10 = 14\) (within budget)

4. 3 food items and 2 attractions:
   \(a = 3\), \(b = 2\)
   Total cost = \(4(3) + 2(2) = 12 + 4 = 16\) (exceeds budget)

The only combination that Leo can afford within his $15 budget is 1 food item and 5 attractions.