Question

riddle rearranging
find each percent change or percent error. round to the nearest whole percent as needed. then arrange the answers in order from least to greatest. the letters will spell out the answer to the riddle below
v
a young tree is 16 inches tall. one year later, it is 20 inches tall. what is the percent increase in height?
a
a ship weighs 7 tons with no cargo. with cargo, it weighs 10.5 tons. what is the percent increase in the weight?
r
the balance of an account is $500 in april. in may it is $440. what is the percent decrease in the balance?
b
ben thought an assignment would take 20 minutes to complete. it took 35 minutes. what is the percent error in his estimate of the time?
n
natalie has $250 in savings. at the end of 6 months, she has $450 in savings. what is the percent increase in the amount of her savings?
i
the water level of a lake is 22 feet. it falls to 18 feet during one month. what is the percent decrease in the water level?
h
shamar has 215 photos on his cell phone. he deletes some so that only 129 photos remain. what is the percent decrease in the number of photos?
k
lita estimates she will read 24 books during the summer. she actually reads 9 books. what is the percent error of her estimate?
e
camden estimates his backpack weighs 9 pounds with his books. it actually weighs 12 pounds. what is the percent error of his estimate?

Explanation:

Step1: Calculate percent increase (V)

Percent increase formula: $\text{Percent Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\%$
$\text{Percent Increase} = \frac{20 - 16}{16} \times 100\% = \frac{4}{16} \times 100\% = 25\%$

Step2: Calculate percent increase (A)

$\text{Percent Increase} = \frac{10.5 - 7}{7} \times 100\% = \frac{3.5}{7} \times 100\% = 50\%$

Step3: Calculate percent decrease (R)

Percent decrease formula: $\text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\%$
$\text{Percent Decrease} = \frac{500 - 440}{500} \times 100\% = \frac{60}{500} \times 100\% = 12\%$

Step4: Calculate percent error (B)

Percent error formula: $\text{Percent Error} = \frac{|\text{Actual Value} - \text{Estimated Value}|}{\text{Actual Value}} \times 100\%$
$\text{Percent Error} = \frac{|35 - 20|}{35} \times 100\% = \frac{15}{35} \times 100\% \approx 43\%$

Step5: Calculate percent increase (N)

$\text{Percent Increase} = \frac{450 - 250}{250} \times 100\% = \frac{200}{250} \times 100\% = 80\%$

Step6: Calculate percent decrease (I)

$\text{Percent Decrease} = \frac{22 - 18}{22} \times 100\% = \frac{4}{22} \times 100\% \approx 18\%$

Step7: Calculate percent decrease (R)

$\text{Percent Decrease} = \frac{215 - 129}{215} \times 100\% = \frac{86}{215} \times 100\% = 40\%$

Step8: Calculate percent error (K)

$\text{Percent Error} = \frac{|9 - 24|}{9} \times 100\% = \frac{15}{9} \times 100\% \approx 167\%$

Step9: Calculate percent error (E)

$\text{Percent Error} = \frac{|12 - 9|}{12} \times 100\% = \frac{3}{12} \times 100\% = 25\%$

Step10: Order values & match letters

Order from least to greatest:
12% (R), 18% (I), 25% (V), 25% (E), 40% (R), 43% (B), 50% (A), 80% (N), 167% (K)
Corresponding letters: R, I, V, E, R, B, A, N, K

Answer:

Individual Calculations:

• V: 25%
• A: 50%
• R: 12%
• B: 43%
• N: 80%
• I: 18%
• R: 40%
• K: 167%
• E: 25%

Riddle Answer (spelled from ordered values):

RIVERBANK