Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem? Choices: (A)4x ≤ 20 (B)4x ≥ 20 Solve the inequality. Then, complete the sentence to describe the solution. Each cupcake costs at most $____.

Question

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?   Choices: (A)4x ≤ 20 (B)4x ≥ 20    Solve the inequality. Then, complete the sentence to describe the solution. Each cupcake costs at most $____.

Bytelearn · Accepted Answer

Understand the problem:  Step 1: Understand the problem. We need to find the inequality that describes the cost of a box of cupcakes, where each box contains 4 cupcakes and costs at most $20. Set up the inequality:  Step 2: Set up the inequality. Since each box of 4 cupcakes costs at most $20, the total cost for one box can be represented by 4x, where x is the cost per cupcake. The inequality should show that 4x is less than or equal to 20. Choose the correct inequality:  Step 3: Choose the correct inequality from the choices.  (A) 4x ≤ 20 (B) 4x ≥ 20 Since we are looking for the maximum cost, the correct inequality is (A) 4x ≤ 20. Solve the inequality:  Step 4: Solve the inequality 4x ≤ 20 to find the maximum cost per cupcake. Divide both sides of the inequality by 4: x ≤ 20 / 4 x ≤ 5

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