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 used 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.

A. 3 food items and 2 attractions
B. 2 food items and 4 attractions
C. 0 food items and 8 attractions
D. 1 food item and 5 attractions

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

To determine which combination of food items and attractions Leo can afford with his $15 budget, we can substitute the values of \( a \) (food items) and \( b \) (attractions) into the expression \( 4a + 2b \) and check if the total cost is less than or equal to $15.

  1. Option A: 3 food items and 2 attractions

    • Cost: \( 4(3) + 2(2) = 12 + 4 = 16 \)
    • Total: $16 (not affordable)
  2. Option B: 2 food items and 4 attractions

    • Cost: \( 4(2) + 2(4) = 8 + 8 = 16 \)
    • Total: $16 (not affordable)
  3. Option C: 0 food items and 8 attractions

    • Cost: \( 4(0) + 2(8) = 0 + 16 = 16 \)
    • Total: $16 (not affordable)
  4. Option D: 1 food item and 5 attractions

    • Cost: \( 4(1) + 2(5) = 4 + 10 = 14 \)
    • Total: $14 (affordable)

The only combination that Leo can afford with his $15 budget is Option D: 1 food item and 5 attractions.