Which equation represents the total commission (c) a sales associate receives if he sells laptop computers (l) with a commission of $39.95 for each sold laptop? What's the total commission if he sells 15 laptops?
A) $I=39.95 c, $599.25
B) $c=39.95 t ; $599.25
C) $c=39.95l ; $2.66
D) $I=39.95 c, $2.66

Question

GinnyAnswer · Answer

Define the variables: 'c' for total commission and 'l' for the number of laptops sold. 
 Establish the equation: The total commission is calculated as c = 39.95 × l . 
 Substitute the given value: For 15 laptops, the equation becomes c = 39.95 × 15 . 
 Calculate the total commission: c = 599.25 , so the total commission is $599.25 ​ . 
 
 Explanation 
 
 Problem Analysis Let's analyze the problem. We are given that a sales associate earns $39.95 for each laptop they sell. We need to find an equation that represents the total commission (c) based on the number of laptops sold (l). Then, we need to calculate the total commission if the sales associate sells 15 laptops. 
 
 Equation Setup Let 'c' represent the total commission and 'l' represent the number of laptops sold. The equation relating the total commission to the number of laptops sold is: c = 39.95 × l 
 
 Substitution Now, we substitute l = 15 into the equation to find the total commission when 15 laptops are sold: c = 39.95 × 15 
 
 Calculation Calculating the value of c: c = 599.25 The total commission when 15 laptops are sold is $599.25 . 
 
 Final Answer The equation that represents the total commission is c = 39.95 l , and the total commission for selling 15 laptops is $599.25 . Therefore, the correct option is B.

Examples 
 Imagine you're running a lemonade stand, and each cup of lemonade sells for $1.50 . The equation we found is similar to calculating your total earnings based on the number of cups you sell. If you sell 20 cups, you multiply $1.50 by 20 to find your total earnings. This simple calculation helps you manage your small business and understand how much money you're making based on your sales. This concept applies to many real-life situations where you earn a fixed amount per item sold or service provided.

Anonymous · Answer

The equation for total commission based on laptop sales is c = 39.95 l . For selling 15 laptops, the total commission amounts to $599.25. Hence, the correct option is B. 
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Answer (2)

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