Question

lesson-by-lesson review (continued)

1. vicki giddeon delivers flowers every valentine’s day. she earns $3.50 to deliver a small arrangement, $4.50 to deliver a medium arrangement, and $6.05 to deliver a large arrangement. last year, she delivered 68 small arrangements, 15 medium arrangements, and 23 large arrangements. what was her total pay for the day?
2. algebra dakota shilah works for arizona bath company as a repairman. he earns $12.00 for each fiberglass bathroom sink and $59 for each fiberglass tub enclosure he repairs. last week he repaired a total of 23 items. dakota’s pay for the week was $652. how many of each type of repair did he make?

1.5 salary (pp. 109–111)
compute the salary per pay period.
richard martin is a network administrator for a large law firm. his annual salary is $65,590. what is his monthly salary? what is his weekly salary?
find the salary per pay period.
annual salary ÷ number of pay periods per year
$65,590 ÷ 12 = $5,465.83 monthly salary
$65,590 ÷ 52 = $1,261.35 weekly salary
review exercises
determine the salary per pay period.

1. surveyor: annual $48,950; weekly.
2. law clerk: annual $36,980; biweekly.
3. pharmacist: annual $86,660; semimonthly.
4. pilot: annual $136,800; monthly.
5. the educational television service at brooke green state university advertised for a development officer at a minimum salary of $40,663. what is the monthly salary?
6. schnider national trucking stated in a “help wanted” advertisement that an experienced driver could earn $930 per week. how much is the annual salary?
7. algebra assume that your current job pays a monthly gross salary of $3,780. you are offered a new position that pays $18.50 per hour with 1\frac{1}{2} per hour for all hours over 44 per week. how many hours of overtime per week would you need to work to earn approximately the same amount per week as your current job?

1.6 commission (pp. 112–114)
calculate the straight commission and determine the gross pay.
bonnie heisey sells clothing. her commission rate is 7.5%. last month her sales were $10,875. what was her commission?
find the commission
total sales × commission rate
$10,875 × 7.5% = $815.625 = $815.63 commission

Explanation:

Problem 35

Step1: Calculate small arrangement pay

$\text{Pay}_{\text{small}} = 68 \times 3.50 = 238.00$

Step2: Calculate medium arrangement pay

$\text{Pay}_{\text{medium}} = 15 \times 4.50 = 67.50$

Step3: Calculate large arrangement pay

$\text{Pay}_{\text{large}} = 23 \times 6.05 = 139.15$

Step4: Sum all pay amounts

$\text{Total Pay} = 238.00 + 67.50 + 139.15$

Step1: Define variables

Let $x$ = number of sink repairs, $y$ = number of tub repairs.

Step2: Set up system of equations

$$\begin{cases} x + y = 23 \\ 12x + 59y = 652 \end{cases}$$

Step3: Solve for $x$ from first equation

$x = 23 - y$

Step4: Substitute into second equation

$12(23 - y) + 59y = 652$
$276 - 12y + 59y = 652$
$47y = 652 - 276 = 376$
$y = \frac{376}{47} = 8$

Step5: Find $x$ value

$x = 23 - 8 = 15$

Step1: Divide annual by 52 weeks

$\text{Weekly Pay} = \frac{48950}{52}$

Answer:

$\$444.65$

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Problem 36