D is partly constant and partly varies with v.when v=40,D=150 and when v=54,D=192
I) find the formula connecting D and V
ii) find D when V=73
I have no idea what the bot is doing here, anyway ....
"D is partly constant and partly varies with v"
---> D = mv + c
when v=40,D=150 ---- 150 = 40m + c
when v=54,D=192 --- 192 = 54m + c
subtract them:
14m = 42
m = 3, then in 150 = 40m + c
150 = 120 + c
c = 30
so D = 3v + 30
and when v = 73, D = 3(73) + 30 = 249
Whew, thanks Tammy. Answered is driving me crazy
To find the formula connecting D and V, we first need to understand the relationship between the two variables.
From the given information:
When v = 40, D = 150
When v = 54, D = 192
We can see that as v increases, D also increases. This indicates a direct proportionality between D and V.
To find the constant component, let's first subtract the varying component from the given values:
When v = 40, D - (varying component) = 150
When v = 54, D - (varying component) = 192
Let's name the varying component "c" for now.
From the above equations, we can write:
D - c = 150 ...(1)
D - c = 192 ...(2)
We can subtract equation (1) from equation (2) to eliminate the constant component:
(D - c) - (D - c) = 192 - 150
0 = 42
Since the result is 0, it implies that the varying component cancels out, and we are left with only the constant component.
Therefore, the constant component is 42.
Now, we can write the formula connecting D and V:
D = constant + (varying component)
D = 42 + c
To find the value of D when V = 73, we can substitute V = 73 into the formula:
D = 42 + c
To determine the value of the varying component, we need more information. Given only two data points, we cannot accurately determine the specific relationship between D and V. If you provide additional data or information, we can proceed to find the value of D when V = 73.
I) D = (192-150)/(54-40) * (V-40) + 150
ii) D = (192-150)/(54-40) * (73-40) + 150
= 202