Questions: Writing a Function Rule Write a function to describe the following scenario. Billy wants to order business cards. There is a 20 minimum charge regardless of how many cards are purchased. On top of that, there is a charge of 0.06 per card.

Writing a Function Rule

Write a function to describe the following scenario.

Billy wants to order business cards. There is a 20 minimum charge regardless of how many cards are purchased. On top of that, there is a charge of 0.06 per card.

Transcript text: Writing a Function Rule Write a function to describe the following scenario. Billy wants to order business cards. There is a $20 minimum charge regardless of how many cards are purchased. On top of that, there is a charge of $0.06 per card.

Solution

Solution Steps

Step 1: Identify the fixed cost

The scenario states that there is a minimum charge of $20, regardless of how many business cards are purchased. This is the fixed cost, which does not depend on the number of cards.

Step 2: Identify the variable cost

In addition to the fixed cost, there is a charge of $0.06 per card. This is the variable cost, which depends on the number of cards purchased.

Step 3: Write the function rule

The total cost $ y $ can be expressed as the sum of the fixed cost and the variable cost. The variable cost is calculated by multiplying the number of cards $ x $ by the cost per card ($0.06). Therefore, the function rule is: \[ y = 0.06x + 20 \]

Final Answer

\[ \boxed{y = 0.06x + 20} \]

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