Math / Algebra

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Elijah works in a department store selling clothing. He makes a guaranteed salary of $\$ 500$ per week, but is paid a commission on top of his base salary equal to $30 \%$ of his total sales for the week. How much would Elijah make in a week in which he made $\$ 775$ in sales? How much would Elijah make in a week if he made $x$ dollars in sales?
Answer Attempt 1 out of 2
Total earnings when selling \ $775:$ \square $Total earnings when selling$ \ $\mathrm{x}$ : $\square$

Studdy Solution

STEP 1

1. Elijah earns a base salary of \$500 per week.
2. Elijah earns a commission of 30% on his total sales for the week.
3. We need to calculate Elijah's total earnings for specific sales amounts.

STEP 2

1. Calculate the commission for \$775 in sales.
2. Calculate the total earnings for \$775 in sales.
3. Express the commission for $ x $ dollars in sales.
4. Express the total earnings for $ x $ dollars in sales.

STEP 3

Calculate the commission for \$775 in sales:
$\text{Commission} = 0.30 \times 775$

STEP 4

Calculate the total earnings for \$775 in sales:
$\text{Total Earnings} = \text{Base Salary} + \text{Commission}$ $\text{Total Earnings} = 500 + (0.30 \times 775)$

STEP 5

Express the commission for $x$ dollars in sales:
$\text{Commission} = 0.30 \times x$

STEP 6

Express the total earnings for $x$ dollars in sales:
$\text{Total Earnings} = \text{Base Salary} + \text{Commission}$ $\text{Total Earnings} = 500 + (0.30 \times x)$
The solutions are:
Total earnings when selling \$775: \[ 500 + (0.30 \times 775) = 500 + 232.5 = 732.5 \]
Total earnings when selling $x$ dollars: $500 + (0.30 \times x)$

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Studdy Solution

STEP 1

1. Elijah earns a base salary of \$500 per week.
2. Elijah earns a commission of 30% on his total sales for the week.
3. We need to calculate Elijah's total earnings for specific sales amounts.

STEP 2

1. Calculate the commission for \$775 in sales.
2. Calculate the total earnings for \$775 in sales.
3. Express the commission for \( x \) dollars in sales.
4. Express the total earnings for \( x \) dollars in sales.

STEP 3

Calculate the commission for \$775 in sales:
$\text{Commission} = 0.30 \times 775$

STEP 4

Calculate the total earnings for \$775 in sales:
$\text{Total Earnings} = \text{Base Salary} + \text{Commission}$ $\text{Total Earnings} = 500 + (0.30 \times 775)$

STEP 5

Express the commission for $x$ dollars in sales:
$\text{Commission} = 0.30 \times x$

STEP 6

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Studdy Solution

STEP 1

1. Elijah earns a base salary of \$500 per week.2. Elijah earns a commission of 30% on his total sales for the week.3. We need to calculate Elijah's total earnings for specific sales amounts.

STEP 2

1. Calculate the commission for \$775 in sales.2. Calculate the total earnings for \$775 in sales.3. Express the commission for \( x \) dollars in sales.4. Express the total earnings for \( x \) dollars in sales.

STEP 3

Calculate the commission for \$775 in sales:Commission=0.30×775 \text{Commission} = 0.30 \times 775 Commission=0.30×775

STEP 4

Calculate the total earnings for \$775 in sales:Total Earnings=Base Salary+Commission \text{Total Earnings} = \text{Base Salary} + \text{Commission} Total Earnings=Base Salary+Commission Total Earnings=500+(0.30×775) \text{Total Earnings} = 500 + (0.30 \times 775) Total Earnings=500+(0.30×775)

STEP 5

Express the commission for x x x dollars in sales:Commission=0.30×x \text{Commission} = 0.30 \times x Commission=0.30×x

STEP 6

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Elijah earns a base salary of \$500 per week.
2. Elijah earns a commission of 30% on his total sales for the week.
3. We need to calculate Elijah's total earnings for specific sales amounts.

1. Calculate the commission for \$775 in sales.
2. Calculate the total earnings for \$775 in sales.
3. Express the commission for \( x \) dollars in sales.
4. Express the total earnings for \( x \) dollars in sales.

Calculate the commission for \$775 in sales:
$\text{Commission} = 0.30 \times 775$

Calculate the total earnings for \$775 in sales:
$\text{Total Earnings} = \text{Base Salary} + \text{Commission}$ $\text{Total Earnings} = 500 + (0.30 \times 775)$

Express the commission for $x$ dollars in sales:
$\text{Commission} = 0.30 \times x$