Question

A bird's weight W is frequently related to the length L of its wing span. For one species of bird, the formula W=1.1L 3

could be used to predict a bird's weight W in kilograms for a wing span of L meters. a) If a bird has a wing span of 0.6 meters, estimate its weight. Round your answer to the nearest hundredth. kg b) If the wing span of a bird doubles, what happens to its weight? The weight increases by a factor of

Answer 1

To estimate the weight of a bird with a wing span of 0.6 meters, use the formula W=1.1L^3. If the wing span doubles, the weight increases by a factor of 8.

Step-by-step explanation:

To estimate the weight of a bird with a wing span of 0.6 meters, we can use the formula W = 1.1L^3, where W is the weight in kilograms and L is the wing span in meters. Plugging in the given wing span, we have W = 1.1(0.6)^3. Simplifying this expression, we get W ≈ 0.24 kilograms. So, the estimated weight of the bird is 0.24 kilograms.

If the wing span of a bird doubles, its weight increases by a factor of 8. This is because the weight is proportional to the cube of the wing span. When the wing span doubles, the new weight is calculated by multiplying the old weight by 2^3 = 8.

Answer 2

a) If a bird has a wing span of 0.6 meters, an estimate of its weight is 0.24 kg.

b) If the wing span of a bird doubles, the weight increases by a factor of 8.

Based on the information provided above, we can reasonably infer and logically deduce that the weight of a species of bird is directly related to the length of its wing span, and this can be modeled by the following formula;

`W=1.1L^3`

where:

• W represents the bird's weight.
• L represents the length of the bird's wing span.

Part a.

For a species of bird with a wing span of 0.6 meters, the weight can be calculated as follows;

`W=1.1L^3\\\\W=1.1(0.6)^3`

W = 0.2376 ≈ 0.24 kg.

Part b.

If the wing span of a bird doubles, it ultimately implies that we would multiply the original length (wing span) by 2 and then take the cube as follows;

`W = 1.1 * (2 * L)^3\\\\W = 1.1 * 8 * L^3\\\\W = 8 \cdot 1.1 L^3`

Complete Question:

A bird's weight W is frequently related to the length L of its wing span. For one species of bird, the formula W=1.1L^3 could be used to predict a bird's weight W in kilograms for a wing span of L meters.

a) If a bird has a wing span of 0.6 meters, estimate its weight. Round your answer to the nearest hundredth. kg

b) If the wing span of a bird doubles, what happens to its weight?

The weight increases by a factor of