A varies jointly as b and c. Find when b = 7 and c = 9, if the constant is the variation is 3. A) 189 B) 7/3 <
Question
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Answers ( 2 )
Answer:
Option A is correct
Value of A is, 189
Step-by-step explanation:
Joint variation states:
A varies jointly as b and c.
u21d2[tex]A propto b[/tex] and [tex]A propto c[/tex]
u21d2[tex]A propto bc[/tex]
then the equation is in the form of:
[tex]A = k cdot bc[/tex]
where, k is the constant of variation.
As per the statement:
A varies jointly as b and c.
u21d2[tex]A = k cdot bc[/tex] ….[1]
To find A .
Substitute the given values b = 7 , c = 9 and k = 3 in [1]
then;
[tex]A = 3 cdot 7 cdot 9 = 21 cdot 9 = 189[/tex]
Therefore, the value of A is, 189
189 would be correct!