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

Question

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.