Question

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. a (x is 85% of 13, 60% of 4.5 is y) b (x is 110% of 10, y% of 50 is 3.5)

Explanation:

For Point A:

Step1: Calculate 85% of 13

To find 85% of 13, we use the formula for percentage: \( \text{Percentage of a number} = \frac{\text{Percentage}}{100} \times \text{Number} \). So, \( 85\% \) of 13 is \( \frac{85}{100} \times 13 \).
\( \frac{85}{100} \times 13 = 0.85 \times 13 = 11.05 \approx 11 \) (assuming we take the whole number or rounded value as \( x \)).

Step2: Calculate 60% of 4.5

To find 60% of 4.5, we use the same percentage formula. So, \( 60\% \) of 4.5 is \( \frac{60}{100} \times 4.5 \).
\( \frac{60}{100} \times 4.5 = 0.6 \times 4.5 = 2.7 \) (this is \( y \)).

For Point B:

Step1: Calculate 110% of 10

To find 110% of 10, we use the percentage formula. So, \( 110\% \) of 10 is \( \frac{110}{100} \times 10 \).
\( \frac{110}{100} \times 10 = 1.1 \times 10 = 11 \) (this is \( x \)).

Step2: Find \( y\% \) of 50 that equals 3.5

Let the percentage be \( y \). We know that \( \frac{y}{100} \times 50 = 3.5 \). Solving for \( y \):
First, simplify the left - hand side: \( \frac{y}{100} \times 50=\frac{y}{2} \)
Then, set up the equation \( \frac{y}{2}=3.5 \)
Multiply both sides by 2: \( y = 3.5\times2=7 \) (this is \( y \)).

Answer:

For point A: The ordered pair is \( (11, 2.7) \)
For point B: The ordered pair is \( (11, 7) \) (assuming the \( x \) value from 110% of 10 is 11 and \( y \) is 7)