Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# This is an example of the golden ratio, or phi, a proportionality constant that appears in nature. The numerical approximate value of phi is 1.618. From www.goldenratio.net.$Human Anatomy$. Each section of your index finger, from the tip to the base of the wrist, is larger than the preceding one by about the golden (Fibonacci) ratio. Find an equation that represents the ratio of each section of your finger related to the previous one if one section is eight units long and the next section is five units long.

Solution

Verified
Step 1
1 of 3

Suppose, $\\$ $x=$ larger section.$\\$ $y=$ smaller section . $\\$ $\therefore$ ratio is $\dfrac{x}{y}$ $\\$ We need to find the equation to represent the relationship between $x$ and $y$. $\\$

## Recommended textbook solutions

#### Precalculus

6th EditionISBN: 9780134469140 (3 more)Robert F. Blitzer
12,394 solutions

#### Precalculus

5th EditionISBN: 9780321837349 (1 more)Robert F. Blitzer
12,040 solutions

#### Precalculus

7th EditionISBN: 9780618643448 (18 more)Larson, Robert P. Hostetler
11,581 solutions

#### Precalculus

3rd EditionISBN: 9781119275121Cynthia Y. Young
5,000 solutions