Question

Miranda has just been given a new job at Best Deal Electronics. She has two salary options. She can either receive a fixed salary of $500.00 per week or a salary of $200.00 per week plus a 5% commission on her weekly sales. The variable s represents Miranda's weekly sales. Which solution set represents the dollar amount of sales that she must generate in a week in order for the option with commission to be the better choice? (Note: 5% = 0.05).

Answer 1

To find the dollar amount of sales that Miranda must generate in a week for the option with commission to be the better choice, the solution set is s > $6,000.

Step-by-step explanation:

Miranda's salary options can be represented as:

Option 1: Fixed salary of $500 per week

Option 2: $200 per week plus 5% commission on weekly sales (0.05s)

To find the dollar amount of sales that she must generate in a week for the option with commission to be the better choice, we need to compare the two options.

Option 2 is better when the earnings from commission are greater than $500. In other words, we need to solve the inequality:

$200 + 0.05s > $500

To find the solution set, we need to isolate the variable s:

0.05s > $500 - $200

0.05s > $300

s > $300/0.05

s > $6,000

Therefore, the solution set representing the dollar amount of sales that Miranda must generate in a week for the option with commission to be the better choice is s > $6,000.