D is partly constant and partly varies with w. When D =515 W= 1150 , D =625 W =2250

Question

Depict a graph setting, existing in two dimensions. The X-axis and Y-axis intersect at a zero-point, each labeled with capital letters. The X-axis is labeled as 'W' and the Y-axis as 'D'. The graph is populated with scattered data points illustrating a particular trend linking 'D' and 'W'. Some of these data points are highlighted, representing the values: D=515 when W=1150, and D=625 when W=2250. Also depict a question mark, hovering above the graph to denote a sense of query or mission to find the correlation between the two variables, D and W.

D is partly constant and partly varies with w. When D =515 W= 1150 , D =625 W =2250

1. FIND THE RELATIONSHIP BETWEEN D AND W
2. FIND D WHEN W= 1000

Answer 1

1. Let the constant part of D be represented by k. Then we can write:

D = k + vw

where v is the variable part of D that varies with w.

Using the given values, we can set up two equations:

515 = k + 1150v
625 = k + 2250v

Solving for k and v, we get:

k = 290
v = 0.1

Therefore, the relationship between D and W is:

D = 290 + 0.1W

2. To find D when W = 1000, we can substitute W = 1000 into the equation we found in part 1:

D = 290 + 0.1(1000)
D = 390

Therefore, when W = 1000, D = 390.

Answer 2

To find the relationship between D and W, we need to analyze the given values and see if there is a pattern.

Given:
When D = 515, W = 1150
When D = 625, W = 2250

Let's calculate the change in D and W:

Change in D = 625 - 515 = 110
Change in W = 2250 - 1150 = 1100

From the given values, we can see that for every 1100 increase in W, there is a corresponding increase of 110 in D.

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

(Difference in D) / (Difference in W) = (110) / (1100)

Simplifying the equation, we have:

D / W = 1 / 10

So, the relationship between D and W is D = (1/10)W.

To find D when W = 1000, we can substitute W = 1000 into the equation:

D = (1/10) * 1000 = 100

Therefore, when W = 1000, D = 100.

Answer 3

To find the relationship between D and W, we need to analyze the given data points.

From the given information, we can observe that when W increases from 1150 to 2250, D increases from 515 to 625. This means that as W increases by 1100, D increases by 110.

To find the relationship more precisely, we can calculate the ratio of the change in D to the change in W:

Change in D = 625 - 515 = 110
Change in W = 2250 - 1150 = 1100

Ratio = Change in D / Change in W
= 110 / 1100
= 0.1

Therefore, we can conclude that the relationship between D and W is D = 0.1W.

Now, to find D when W = 1000, we can substitute the value of W into the relationship:

D = 0.1W
D = 0.1 * 1000
D = 100

Thus, when W = 1000, D is equal to 100.