Question

1. the text for question 29 is unclear, only the chart is visible: a table with rows week (1,2,3,4,5,6) and score (96,92,88,84,80,76)

topic & word problems

1. maryann is printing pictures from her recent trip to europe. an online print shop charges $0.15 per 4x6 inch print, along with a flat rate shipping charge of $3.00. if maryann has $20 to spend, how many prints can she order?
2. at smith mountain lake boat rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. the mengel family rented a boat from 11 am - 6:30 pm and paid $226.50. if the jones family rented a boat from 8 am - 1 pm, how much did they pay?
3. clint is in study hall reading the hunger games. after 30 minutes, he is on page 151. after 45 minutes, he is on page 181. how many pages had clint read prior to study hall?
4. alaina is selling wreaths and poinsettias for her chorus fundraiser. wreaths cost $27 each and poinsettias cost $20 each. if she sold 15 poinsettias and made $543, how many wreaths did she sell?

Explanation:

Problem 30

Step1: Define variable for prints

Let $x$ = number of prints.

Step2: Set up cost equation

Total cost: $0.15x + 5.00 \leq 25.00$

Step3: Isolate variable term

$0.15x \leq 25.00 - 5.00$
$0.15x \leq 20.00$

Step4: Solve for x

$x \leq \frac{20.00}{0.15} \approx 133.33$
Since prints are whole numbers, $x=133$.

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Problem 31

Step1: Find Dengel rental time

11 am to 6:30 pm = 7.5 hours

Step2: Set up cost equation

Let $f$ = flat cleaning fee. Total cost: $25(7.5) + f = 226.50$

Step3: Calculate hourly cost

$25(7.5) = 187.50$

Step4: Solve for flat fee

$f = 226.50 - 187.50 = 39.00$

Step5: Find Jones rental time

8 am to 1 pm = 5 hours

Step6: Calculate Jones total cost

$25(5) + 39.00 = 125 + 39 = 164$

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Problem 32

Step1: Find reading rate

Pages read: $181 - 151 = 30$; Time: $45-30=15$ mins.
Rate: $\frac{30}{15} = 2$ pages/min

Step2: Pages read in 30 mins

$2 \times 30 = 60$ pages

Step3: Find pre-study pages

$151 - 60 = 91$

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Problem 33

Step1: Define variable for wreaths

Let $w$ = number of wreaths.

Step2: Calculate poinsettia revenue

$15 \times 20 = 300$

Step3: Set up total revenue equation

$27w + 300 = 543$

Step4: Isolate wreath revenue

$27w = 543 - 300 = 243$

Step5: Solve for w

$w = \frac{243}{27} = 9$

Answer:

1. 133 prints
2. $\$164$
3. 91 pages
4. 9 wreaths