Question

complete the problems. check your answers in the back of the book.

1. isaiah copeland sells tennis equipment. he is guaranteed a minimum salary of $1,500 per month plus 5.75% of his total sales. what are isaiah’s total sales for a month in which his gross pay was $2,075?
2. harold pope is a ticket broker. he is guaranteed a minimum weekly salary of $650 or 5% of his total sales, whichever is higher. what are his total sales for a week in which his gross pay was $725?

lesson practice
find the commission.

1. real estate: $198,000 × 8% = $
2. computers: 18,100 × 2 =
3. major appliances: 9,598 × 6 =
4. clothing: 1,311 × 9 =
5. computer supplies: 929 × 15 =
6. siding contract: b × 12 = $690.48
7. auto: 68,417 × b = $2,052.51

Explanation:

Problem 3

Step1: Calculate commission amount

$\$2,075 - \$1,500 = \$575$

Step2: Convert rate to decimal

$5.75\% = 0.0575$

Step3: Solve for total sales

$s = \frac{\$575}{0.0575}$

Step4: Compute final value

$s = \$10,000$

Problem 4

Step1: Confirm pay is commission-based

$\$725 > \$650$, so pay = 5% of sales

Step2: Convert rate to decimal

$5\% = 0.05$

Step3: Solve for total sales

$s = \frac{\$725}{0.05}$

Step4: Compute final value

$s = \$14,500$

Problem 5

Step1: Convert rate to decimal

$8\% = 0.08$

Step2: Calculate commission

$\$198,000 \times 0.08 = \$15,840$

Problem 6

Step1: Convert rate to decimal

$2\% = 0.02$

Step2: Calculate commission

$\$18,100 \times 0.02 = \$362$

Problem 7

Step1: Convert rate to decimal

$6\% = 0.06$

Step2: Calculate commission

$\$9,598 \times 0.06 = \$575.88$

Problem 8

Step1: Convert rate to decimal

$9\% = 0.09$

Step2: Calculate commission

$\$1,311 \times 0.09 = \$117.99$

Problem 9

Step1: Convert rate to decimal

$15\% = 0.15$

Step2: Calculate commission

$\$929 \times 0.15 = \$139.35$

Problem 10

Step1: Convert rate to decimal

$12\% = 0.12$

Step2: Solve for total sales

$b = \frac{\$690.48}{0.12}$

Step3: Compute final value

$b = \$5,754$

Problem 11

Step1: Solve for commission rate

$b = \frac{\$2,052.51}{\$68,417}$

Step2: Convert to percentage

$b = 0.03 = 3\%$

Answer:

1. $\$10,000$
2. $\$14,500$
3. $\$15,840$
4. $\$362$
5. $\$575.88$
6. $\$117.99$
7. $\$139.35$
8. $\$5,754$
9. $3\%$