Question

A flamingo's leg length is proportional to its body length. A flamingo with a body length of 1.2 feet has a leg length of 2.5 feet.

Required:
a. Determine to the nearest thousandth the leg length of a flamingo whose body length is 1.4 feet, showing all work.
b. Convert the leg length determined in part A from feet (ft) to centimeters (cm), showing all work. Round the answer to the nearest tenth.

Answer 1

Answer:

a) 3.125feet

b) 95.3cm

Step-by-step explanation:

a) Let the flamingo leg length be l

Let the body length be b

If a flamingo's leg length is proportional to its body length then;

l ∝ b (direct proportionality)

l = kb

k is the constant of proportionality

If a flamingo with a body length of 1.2 feet has a leg length of 2.5 feet, then;

when b = 1.2, l = 2.5

Substitute into the formula

2.5 = 1.2k

k =2.5/1.2

k = 2.083

We ate to find l when b = 1.5

Since l= kb

l = 2.083(1.5)

l = 3.125feet

Hence the leg length of a flamingo is 3.125feet to the nearest thousandths

b) Convert 3.125feet to centimeters

Using the conversion factor

1foot =30.48cm

3.125feet = x

Cross multiply

x = 30.48×3.125

x = 95.25cm

Hence the length length in cm to nearest tenth is 95.3cm