Question

D is partly constant and partly varies with W,

D=115 when W=1150 and D=625

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the constant part of D, we can subtract the variable part of D from the total value of D when W is at its maximum value:

Constant part of D = D - Variable part of D
Constant part of D = 115 - 625
Constant part of D = -510

Therefore, the constant part of D is -510.

To find the variation of D with respect to W, we can subtract the constant part of D from the total value of D when W is at its maximum value:

Variable part of D = D - Constant part of D
Variable part of D = 625 - (-510)
Variable part of D = 625 + 510
Variable part of D = 1135

Therefore, the variable part of D is 1135.

So, we can say that D is partly constant (-510) and partly varies with W (1135).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the relationship between D and W, we can subtract the two given values to isolate the change in D, and the change in W. Let's calculate that:

Change in D = D2 - D1 = 625 - 115 = 510
Change in W = W2 - W1 = 1150 - 0 = 1150

Now we can calculate the rate of change of D with respect to W:

Rate of change = Change in D / Change in W

Rate of change = 510 / 1150 = 0.443

Therefore, the relationship between D and W is: D = 0.443W + C, where C is a constant term.

Answer 3

[AI-generated answer — Explain Bot]

To determine the relationship between D and W, we need to find the constant part and the varying part of D.

First, let's find the constant part. We can see that when W=1150, D=115. This means that when W is equal to 1150, the varying part of D is 0, and only the constant part remains. Therefore, the constant part of D is 115.

Next, let's find the varying part. By subtracting the constant part from D, we can obtain the varying part. Let's take the second given data point: when W=625, D=625. Subtracting the constant part (115) from D (625), we get the varying part as 510.

Therefore, the relationship between D and W can be expressed as:

D = constant part + varying part

Combining the values we found, we have:

D = 115 + 510(W)

So, D varies with W, but the constant part is 115.