Question

hidden clue
for each ordered pair, solve the percent problems to find the coordinates. then locate and label the corresponding point on the graph. draw line segments to connect the points in alphabetical order. use the completed picture to help you answer the riddle below.
what occurs once in every minu
twice in every moment, yet neve
a thousand years?
a (x is 85% of 13, 60% of 4.5 is y)
11, 2.7
b (x is 110% of 10, y% of 50 is 3.5)
11, 7
c (x% of 31 is 3.317, 4.407 is 39% of y)
,
d ( 1.36 is 17% of x, 1.05 is y% of 15)
,
e (x% of 60 is 3.006, 10% of 111 is y)
,
f (x is 16% of 31.25, y is 24% of 25)
,
g (78% of x is 3.822, y% of 8 is 0.248)
,

Explanation:

Point A

Step1: Find x (85% of 13)

To find a percentage of a number, we use the formula \( \text{Percentage} \times \text{Number} \). So for \( x \), we have \( 85\% \) of \( 13 \), which is \( 0.85 \times 13 \).
\( 0.85 \times 13 = 11.05 \) (we can round to 11 as in the given example, maybe due to graph scaling or approximation)

Step2: Find y (60% of 4.5)

Using the same percentage formula, \( 60\% \) of \( 4.5 \) is \( 0.6 \times 4.5 \).
\( 0.6 \times 4.5 = 2.7 \)

Step1: Find x (110% of 10)

Using the percentage formula, \( 110\% \) of \( 10 \) is \( 1.1 \times 10 \).
\( 1.1 \times 10 = 11 \)

Step2: Find y (y% of 50 is 3.5)

We use the formula \( \frac{y}{100} \times 50 = 3.5 \). Solving for \( y \), we first simplify the left side: \( 0.5y = 3.5 \). Then divide both sides by 0.5: \( y = \frac{3.5}{0.5} = 7 \)

Step1: Find x (x% of 31 is 3.317)

Using the formula \( \frac{x}{100} \times 31 = 3.317 \). First, solve for \( \frac{x}{100} \) by dividing both sides by 31: \( \frac{x}{100} = \frac{3.317}{31} \). Then multiply both sides by 100 to find \( x \).
\( \frac{3.317}{31} = 0.107 \), so \( x = 0.107 \times 100 = 10.7 \) (or 11 if approximating, but let's do exact first)

Step2: Find y (4.407 is 39% of y)

Using the formula \( 0.39 \times y = 4.407 \). Solve for \( y \) by dividing both sides by 0.39: \( y = \frac{4.407}{0.39} \)
\( \frac{4.407}{0.39} = 11.3 \) (or 11 if approximating)

Answer:

\( (11, 2.7) \)

Point B