Question

Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week but is paid a commission on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made x dollars in sales?

a) $405; $300 + 0.05x

b) $375; $300 + 0.05(2175)

c) $405; $2175 + 0.05(300)

d) $375; $2175 + 0.05x

Answer 1

Connor would earn $408.75 in a week when he made $2175 in sales, which is calculated by adding his base salary of $300 to his commission, which is 5% of his sales. For any week where Connor makes x dollars in sales, his earnings would be $300 plus 5% of x. Therefore, the correct answer for if Connor made x dollars in sales is option a) "$300 + 0.05x".

Step-by-step explanation:

To find out how much Connor would make in a week where he made $2175 in sales, you need to calculate his base salary plus the commission he earns on the sales. Connor's commission is 5% of his sales, so you would calculate 5% of $2175:

Commission = 0.05 × $2175 = $108.75

Now, add the commission to his guaranteed base salary:

Total earnings = Base salary + Commission
= $300 + $108.75
= $408.75

So, Connor would make $408.75 in a week where he made $2175 in sales. This means the correct answer to the first question is none of the provided options.

For a generic week where Connor makes x dollars in sales, his earnings would be calculated as follows:

Commission = 0.05 × x dollars

Total earnings = Base salary + Commission
= $300 + 0.05x

The answer to the second question is therefore "$300 + 0.05x", which corresponds to option a).