SOLUTION: D is partly constant and partly varies with V. When V = 40, D = 150 and when V = 54, D = 192. (a) Find the formula connecting D and V (b) Hence, Find D when V = 73.

Algebra ->  Expressions-with-variables -> SOLUTION: D is partly constant and partly varies with V. When V = 40, D = 150 and when V = 54, D = 192. (a) Find the formula connecting D and V (b) Hence, Find D when V = 73.      Log On


   

Question 1206667: D is partly constant and partly varies with V. When V = 40, D = 150 and when V = 54, D = 192.
(a) Find the formula connecting D and V
(b) Hence, Find D when V = 73.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
"partly constant and partly varies..."
What?


I waited to see if someone gives you a response for this "partly constant and partly varies" problem. Not see any yet. Maybe this older one may help you: https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1143596.html

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MAYBE,....
D=mV%2Bk a linear form equation

system%28150=m%2A40%2Bk%2C192=m%2A54%2Bk%29

Equate the k expressions and solve for m.

k=150-40m=192-54m

-54m%2B192=-40m%2B150
-54m%2B40m=150-192
54m-40m=192-50
14m=42
7m=21
highlight_green%28m=3%29

Use m to find value for k.
k=150-40m
k=150-40%2A3=150-120
highlight_green%28k=30%29

If this is the kind of method you expect , then D and V are to be related
highlight%28D=3V%2B30%29.


(b)
D=249