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
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.
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.
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.