Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Let's go through the problem step-by-step:
1. The employee works 35 hours per week.
2. The aim is to find an inequality representing the condition for earning more than [tex]$400 per week. 3. We assume the hourly wage of the employee is $[/tex]8.
Firstly, the income from hourly wages can be calculated:
[tex]\[ 35 \text{ hours/week} \times 8 \text{ dollars/hour} = 280 \text{ dollars/week} \][/tex]
Next, we need to account for the weekly sales, represented by [tex]\( x \)[/tex]. The employee earns an additional 8% commission on these sales:
[tex]\[ 0.08x \][/tex]
So, the total weekly earnings, including both the hourly wage and sales commission, is:
[tex]\[ 280 + 0.08x \][/tex]
To find the weekly sales [tex]\( x \)[/tex] required to earn more than [tex]$400 per week, we set up the following inequality: \[ 280 + 0.08x > 400 \] Now, we break it down further: Subtract 280 from both sides to isolate the term with \( x \): \[ 280 + 0.08x - 280 > 400 - 280 \] \[ 0.08x > 120 \] The simplified inequality is: \[ x > 1500 \] Thus, the inequality that represents the condition for the employee to earn more than $[/tex]400 per week is:
[tex]\[ 35(8) + 0.08x > 400 \][/tex]
So, option B is correct:
[tex]\[ 35(8)+0.08 x>400 \][/tex]
1. The employee works 35 hours per week.
2. The aim is to find an inequality representing the condition for earning more than [tex]$400 per week. 3. We assume the hourly wage of the employee is $[/tex]8.
Firstly, the income from hourly wages can be calculated:
[tex]\[ 35 \text{ hours/week} \times 8 \text{ dollars/hour} = 280 \text{ dollars/week} \][/tex]
Next, we need to account for the weekly sales, represented by [tex]\( x \)[/tex]. The employee earns an additional 8% commission on these sales:
[tex]\[ 0.08x \][/tex]
So, the total weekly earnings, including both the hourly wage and sales commission, is:
[tex]\[ 280 + 0.08x \][/tex]
To find the weekly sales [tex]\( x \)[/tex] required to earn more than [tex]$400 per week, we set up the following inequality: \[ 280 + 0.08x > 400 \] Now, we break it down further: Subtract 280 from both sides to isolate the term with \( x \): \[ 280 + 0.08x - 280 > 400 - 280 \] \[ 0.08x > 120 \] The simplified inequality is: \[ x > 1500 \] Thus, the inequality that represents the condition for the employee to earn more than $[/tex]400 per week is:
[tex]\[ 35(8) + 0.08x > 400 \][/tex]
So, option B is correct:
[tex]\[ 35(8)+0.08 x>400 \][/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.